Maths-
General
Easy
Question
Graph each function ![g left parenthesis x right parenthesis equals fraction numerator 3 x plus 2 over denominator x minus 1 end fraction](data:image/png;base64,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)
Hint:
A rational function is a function that is the ratio of polynomials. Any function of one variable, x, is called a rational function if, it can be represented as f(x) =
, where p(x) and q(x) are polynomials such that q(x) ≠ 0.
Rational functions are of the form y = f(x)y = fx , where f(x)fx is a rational expression .
- If both the polynomials have the same degree, divide the coefficients of the leading terms. This is your asymptote.
- If the degree of the numerator is less than the denominator, then the asymptote is located at y = 0 (which is the x-axis).
- If the degree of the numerator is greater than the denominator, then there is no horizontal asymptote.
The correct answer is: From the graph we can analyze that the vertical asymptote of the rational function is x= 1 and horizontal asymptote is y = (leading coefficient of numerator) / (leading coefficient of denominator) = 3/1=3
1.Find the asymptotes of the rational function, if any.
2.Draw the asymptotes as dotted lines.
3.Find the x -intercept (s) and y -intercept of the rational function, if any.
4.Find the values of y for several different values of x .
5.Plot the points and draw a smooth curve to connect the points. Make sure that the graph does not cross the vertical asymptotes.
The vertical asymptote of a rational function is x -value where the denominator of the function is zero. Equate the denominator to zero and find the value of x .
x - 1= 0
x = 1
The vertical asymptote of the rational function is x= 1
We will find more points on the function and graph the function.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKUAAADDCAYAAADjhtGdAAANSElEQVR4nO2dP3KjShfFL1+9VbyamkDNGiaYsh04ECzgBdYSUPzKThw6QQsYpS9DwVvAkwMHgppg1qCmpqZcs43+As/VAAbRNCAaOL8qBcMAbh0f03/oe6+jlFIEgEX8b+gGAFAEpgTWAVMC64ApgXXAlMA6YEpgHTAlsA6YElgHTAmsA6YE1gFTAuv4o+yg4ziXbgeYEXXbLUpNqXPhXHEcB9q0QOeBh+4bWAdMCawDpgTWAVMC64ApgXUYmXK9XpPjOJQkyenYbrcjx3Fos9l01rixstlsSmeZvu/Ter0eoEUjQ5VQcTiH53lKCJG7JgiC2uvGjo42UkpFRCqKonfH4jjus3nWo6Of8+vEHDprcWmakhCCwjCk79+/03a7ncX6ne46pe/7RET033//EdHb0/Ph4WEWGp1DSz9TNyulVBRFiojePRWmTFNtGM/zZtGT1KGjn/GTMnuuEIKOx2PDv5lxoqsN9yRRFNGnT59ICEFxHNPV1dUFWmkvOvq1mn3zoF1KiQlOgcViQZ7n0eFwoG/fvhERzd6Q2pg+YuM4PnXb3FXNYRCvow3DuqDr/o2Ofsbdt+u65LruaSDv+z4dj8fJd+NNN2Tw0hC67jd6m+h4nqeISEkpT8d4ycPzPP0/mxFSp00R1gq8oaNF5da1c/DTMctisZj9ckcVQRAM3YRRYWRKoEeSJLTf70lKOXRTRgVM2RM8loyiiBaLxcCtGRcwZU9gKGNOpSkRp1MNtOkXxOg0BDE67UCMDhglMCWwjtbvvh3HOX3SNO2qXZMgqw1/6jb5FjXlz6wwXXUPgiB3Hr/nzb7lmSI62ij1+w1XUz08z1NhGJo0bRTo6GdsSirZQymEmLSgSjXbT5ndmd/k/lPe2KKjn/E6pcIM9CyHw4GWy2Wjazjmae4bNzqb6Gw2G5JS0l9//dXVLUdNmqb0/PycGxfW7Tl9fX0lIUTuGtd1L9RiizB9xDJzC4nQ1YaIct03jzHPDW94nJ7tvosBemNHR7/WpswihJj8ZlZTbZRSKgzDxteXRUaOGZ3v3+k65dPTE223WywNVfD582ciokb6LBYLEkLQjx8/+mqWdXRqyg8fPnR5OzBTjEyZpik5jkO73S53/OvXr0REs9+qxfpkM4gQvekjhKjUpyyDRpqmJKU8PWVngWm/X9zmz4FkWKd8o0qfc2NDnjRmzxFCTCrEREe/VhMdni0SZt+lFPUpLop7nvfOcGxe/kxt4qijX+tkBHMD2rSj92QEAPQBTAmsA+EQBkCbfkE4REMwpmwHwiHAKIEpgXV0YsokSbTHWXPc7n9OH9/3Z6ODLq1NmaYpXV9fNzo/DENSbwv3p89UOacPZ6pjDcIwhDGJuksvrXsNjXy7v+73VOq8PlWJ+Wnib8Z09DMOh0iShFarFYVhSEREDw8PWtcQzWO7f50+yFJXjXH3fXV1RUopur+/175mTtv9TfThHUJ3d3d9NWsUXHT2fTgcSEpJcRyfxlGcEXjOcDGo7XZLcRwP3ZzhMe33s5hs82fGtt3f5Hs20Ycmvv1PR4fB1ynnuN3/HGEYao3Pp8zgpgR5Pn78OHQTBueipsR2/9/wgnoxZOJwOJAQYqBWWYJpv59Fd8w0he3+TbVRqlofIUQuprtMn6mho1+vT0rf90+FM4neljriOKbVanVaEloul6XVJubA8Xgk13VPWqxWK4rjePZLQgiHaAi0aQfCIcAogSmBdcCUwDoQo2MAtOkXxOg0BBOddiBGB4wSmBJYh5Ep+RVZ1af46myumJR04Yxt/Mm+fGCK+pelrd7tdrlzihnyrMb0VVDVdVNLyFREVxvTki5FDYuvYcuyt1Fhuxv/LA61sGl7oI5+nZmy+EuYKrrfscwEdSVd2Exlx9jMQRC82ysQhmHuHbrnee8eDmXXDYGOfp2UVk7TlLbbLUVR1MXtJoHqaYb+5cuX2nNGv5fA1M1ZgiCYVAWDczTVhuGdQm277yI6VSd0ErZeCh39WptSR5Qp0dSUJiVdhBCna87pyudUmZZ/N0WjD4mOfq2XhP79918iIhR1quDu7u4UJPf4+Hi2YCjPqp+enk7XvLy8VC448zm3t7el53AYr/o1lBhNgJ6pm5myFMlTpok2Repm4FVakkZPVHeOLTNwHf1aPyn3+z3d3t62vc0sqCvpcjweSytH6IRH1J0zpoodrUzJi+Rzi6+pw7Ski+u6pQvsUspTQFlxNz//vOw5ruu+Gybw72oUtY5MH7FKzafGdxZdbUxKupSdU7xPVZxTdvWDZ/rZPEV0ZkJ0SXT0a2XKNkkIxkqT71tX0qVsDJmdMRNR6VJbsaxJmdmKybXGNPtGjE5DoE07EKMDRglMCawD4RAGQJt+KTUlxkxgSNB9A+uAKYF1wJTAOmBKYB0wJbAOmBJYB0wJrAOmBNYBUwLrgCmBdcCUwDpgSmAdMCWwDpgSWAdMCawDpgTWAVMC64ApgXWUhkMgBgX0SV24DUqWNARx3+1AyRIwSmBKYB0wJbAOmBJYB0wJrMPIlFxJK1tZjCtclVW/mhubzaZ0lun7/tmc5+AXpjkEPc/L5U4ki3Ig9omONmX5xflYNpHpHNHRzzg/ZZqmJISgMAzp+/fvtN1uZ7F+p7tOySmgudDSZrOhh4eHWWh0Di39TN2slFmNmLHTVBumrDTdHNHRr3UmX8dxSAhBx+Ox4d/MONHVhnuSKIro06dPJISgOI7p6urqAq20l94z+fKgXUqJCU6BxWJBnufR4XCgb9++ERHN3pDamD5is/X+iqV8p4yONgzrgq77Nzr6GXffruuS67qngbzv+3Q8HiffjTfdkMFLQ+i63+htosO1XbL1c3jJw4ZaLX1Sp02RYh2cuaOjhVG977J60lycErwnCIKhmzAqOilCD8pJkoT2+z1JKYduyqiAKXuCx5JRFI2qWKcNwJQ9gaGMOaijYwC06RfE6DQEMTrtQIwOGCUwJbCOXk3pui7tdrva85IkIcdx3n10rh0D/P2AHr3Nvn3f116fe319nexOozRN6fr6euhmjIpeTNn0qXA4HGi5XPbRlEHZ7Xa0Wq2Gbsbo6Lz7dl2XhBCN3mI8Pz/Tzc1N100ZlCRJaLVaURiGFIbh0M0ZFZ2b0mSnkJSSHh8fc+PJbFDaGLm6uiKlFN3f3w/dlNEx+OybzbdcLkkpRUopiqKIrq+vR29MYMbgrxn5iZLl7u6O/vnnH3p6eirdkQSmzeBPyipub28nORsH9RiZkoPt+eO6btftAjPGyJT39/en8Z9SqtUTjTNrFHl5eZnkMhGoZ/Du++7ujoh+B+8TvT2J9/s9/f3330M1CwzIxSc6vKAspTxtflVKkeu6uScmduLMl9bJCOYGtGlH78kIAOgDmBJYB8IhDIA2/YJwiIZgTNkOhEOAUQJTAutoZUp+GzOV7WaXoPiKNvvSAPzCNAkRpwLk9H/Ff08VHW2qCMPwXWIwIcTkk4Jl0dGvVSL+Ys7FIAgmL3AbUwohVBiGuWP8x5w16pTR0c/4NeN+v6coinLHbm5uaLvdmt5y8pzbuPLz50/kHPqF0ZgyTVMiIvrw4UPuOP+b/x/U8/XrVyIi+vPPPwduiT0YmfLnz59dt2O2PDw8UBAEeEpmwJLQgPDM+8uXLwO3xC6MTImupj2+7yOhagVGpuSu5vX1NXec/z33rqguXMR13ZMh565VGcb7KX3fp8Viket61us1pWk66QjEtu++XdclKeVs35/3WgavWDtnLrV0dLSpIgiCWa1JlqGjX2e1GedgSKXMTcklXao+qG35G4RDNATatAPhEGCUwJTAOmBKYB2I0TEA2vQLYnQagolOOxCjA0YJTAmso3NTrtfr0vIjc4TzI5mWYDlX8iV77+K79TL9+bPZbIy/z6Xo3JRpmlIYhrlUgXMcg7muS67rnr5/HMe0Wq20jXmu5IvjOLl03PyzmKL2SinyPI+EEOPIwW76Kujca6Qpv27U0aYq7kY3honOvH4Mw1AJIXLH+BVmle427UvQ0a9TU/IvY8q0+X5BELwzVBEhhBJCnIxWNGVZ8FkdQoh3QX5DoaNfp903Vw5D6ulynp+fa/WoK/kipaSPHz/mxu7n7rnb7UhKOaoEtJ2a8nA4kJSS4jiuHO/MFTbH4+Oj8T04IG+1WtHNzU1uvF6l8ePjI3meN67NxKaPWF2quqGxYqINa9CkCy3Treo+VRrzcMom7XX0632dcrFYkBCCfvz40fePspI0TUkIQZ7ndRYgViwZWKUxh+9yXvmxgJIlPZIkycmQXYSIsPl0eXl5Ic/zWv/cS9NpyRLf92m9XufOTdOUpJT0+fPn9q0dEUmS0PX1NQVB0GnM0nK5pMPhkDtWpfF+v6fb29vOfvbFMO33y+D1sOwYZmoJnHS1IaJW37tqnFh2vExjW8fyOvp1PtHhwTV/bFkf6wodbTi7WtWH8Tyv0rh1psrer+wetmbB09EPMToNgTbtQIwOGCUwJbAOhEMYAG36pdSUGDOBIUH3DawDpgTWAVMC64ApgXXAlMA6/g/QyG1tVj6ZMQAAAABJRU5ErkJggg==)
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)
From the graph we can analyze that the vertical asymptote of the rational function is x = 1 and horizontal asymptote is
y = (leading coefficient of numerator) / (leading coefficient of the denominator) =
=3
Related Questions to study
Maths-
Find the equation for a path that passes through the point (6, 6) and is perpendicular to
.
Find the equation for a path that passes through the point (6, 6) and is perpendicular to
.
Maths-General
Maths-
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript minus 2 semicolon a subscript 1 equals negative 1](data:image/png;base64,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)
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript minus 2 semicolon a subscript 1 equals negative 1](data:image/png;base64,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)
Maths-General
Maths-
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript plus 6 semicolon a subscript 1 equals 9](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJcAAAARCAYAAADQdj68AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAoFJREFUeNrtWM9HZVEcv55kVtFiJLOIjDFajMjIeJLILJ4kkaTlI+kfmEVaJG1atkuLJIkkyWiXjFaRjLQYkVYtEi2SPM/j9fnyKXeOe3une+9559zrffgs7nHu9fn+OOf7vV/Pa8AWvoPb4ANYAvfB/pTZIHqPqf8J3AE7G6G1iykm0xc+t4CTDFRa8BO84CHJgU1gEfwHtjVCnCyqmvu6wNMM2HsackuNgUvqomTfPHgLlsG/YIcl4S5pSTq5VsCJDPim8oa+M3XxN7gMtnKD9AMjMZ1di2FIWotLySVlo11j3xa/OeJonK7AnoD1DvZfr5igSD/WwYKFILmkxURyldhr7TIIZZaYSY3kcsk3Uv6u2dTnyCHeWmX/xiPwh/LyH0vXrUtaTJz4KgNQYBMsQcmDl+BMynzTT00lUhL/s3pzPdFIf918tOR8E1pcurlk9PApYL0bvKnxrktxCsMH8MS/cKdsyAc1ZXWCbS1SsubYKJtIrgMlQfwoJ+ibqHbExQC44F+4Yca9QETtWEou21o2OIeqGkouKX3jAetf1RMf0zdR7YiLRfVmXuAvco71e5MnLOxvZ4hNqJy0XwmLc0WLqeRqZp9UZM8l6AXPwcEaDf17fBPVDl0cgqO0x2NCSbIPB22eZUM2x9NxG/CLm+N8Y4Mfkz7h3oBwF7SYPPEfwVX2SxUmW5/mKELHN/WwY5DNfIV9pOj99h4HqOj1/p8u55nBphFHS9RGtd7lJGzWVYjgG9fs0J5BrSvPaxnVYjsochNf+EpnWu3QhkyGp5XnYka12A6KlPq2DNihjV3lmt7z7E3OTWtJTVCyYse98iusPmdBS9whoktJZdWOZxjZ+uXylBiXAAABBnRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtc3ViPjxtaT5hPC9taT48bWk+bjwvbWk+PC9tc3ViPjxtbz49PC9tbz48bXN1Yj48bWk+YTwvbWk+PG1yb3c+PG1pPm48L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjE8L21uPjwvbXJvdz48L21zdWI+PG1vPis8L21vPjxtbj42PC9tbj48bW8+OzwvbW8+PG1zdWI+PG1pPmE8L21pPjxtbj4xPC9tbj48L21zdWI+PG1vPj08L21vPjxtbj45PC9tbj48L21hdGg+zjvpZwAAAABJRU5ErkJggg==)
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript plus 6 semicolon a subscript 1 equals 9](data:image/png;base64,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)
Maths-General
Maths-
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript plus 15 semicolon a subscript 1 equals 8](data:image/png;base64,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)
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript plus 15 semicolon a subscript 1 equals 8](data:image/png;base64,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)
Maths-General
Maths-
Graph each function ![f left parenthesis x right parenthesis equals fraction numerator 4 x minus 3 over denominator x plus 8 end fraction](data:image/png;base64,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)
Graph each function ![f left parenthesis x right parenthesis equals fraction numerator 4 x minus 3 over denominator x plus 8 end fraction](data:image/png;base64,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)
Maths-General
Maths-
What is the graph of the function![f left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator 3 x minus 4 end fraction](data:image/png;base64,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)
What is the graph of the function![f left parenthesis x right parenthesis equals fraction numerator 2 x plus 1 over denominator 3 x minus 4 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and explicit formula. -15,-6,-3,12,21,...
Write recursive formula and explicit formula. -15,-6,-3,12,21,...
Maths-General
Maths-
The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is perpendicular to the north path.
The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is perpendicular to the north path.
Maths-General
Maths-
Write recursive formula and explicit formula. 62,57,52,47,42,...
Write recursive formula and explicit formula. 62,57,52,47,42,...
Maths-General
Maths-
Write recursive formula and explicit formula. -4, 5,14,23,32,...
Write recursive formula and explicit formula. -4, 5,14,23,32,...
Maths-General
Maths-
What are the vertical and horizontal asymptotes of the graph of each function?
![fraction numerator x squared plus 5 x plus 4 over denominator 3 x squared minus 12 end fraction](data:image/png;base64,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)
What are the vertical and horizontal asymptotes of the graph of each function?
![fraction numerator x squared plus 5 x plus 4 over denominator 3 x squared minus 12 end fraction](data:image/png;base64,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)
Maths-General
Maths-
The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is parallel to the north path.
The equation 2x + 7 represents a north path on a map. Find the equation for a path that passes through the point (6, 3) and is parallel to the north path.
Maths-General
Maths-
Write recursive formula and explicit formula. 12,19,26,33,40,...
Write recursive formula and explicit formula. 12,19,26,33,40,...
Maths-General
Maths-
What are the vertical and horizontal asymptotes of the graph of each function?
![G left parenthesis x right parenthesis equals fraction numerator 2 x squared plus x minus 9 over denominator x squared minus 2 x minus 8 end fraction](data:image/png;base64,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)
What are the vertical and horizontal asymptotes of the graph of each function?
![G left parenthesis x right parenthesis equals fraction numerator 2 x squared plus x minus 9 over denominator x squared minus 2 x minus 8 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAI8AAAAqCAYAAACKsgjOAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAABA9JREFUeNrtnE9IFVEUxi8iEiJBSEhEBBIRLkSQCIkIQSIiIgQX0ioCERFpH60ikAgX4S6iRYgQIRESQoSEiAghERFupEWLFm1EREQEO4f3DQ7T/LlzZ+6deTPnBx+o85y5zjvvzHfPvUelBBOOoAPSKumC3BIhLS2kCdKG3ArBlH25BYIJ10lf5DZUk6ukd6QdeJRvpHs5nfsMPE93hT4IK8ike7hv3XUOHs4Ko6QOfN+DN3w043kvkhYRQFXgBukH6TK8XCvpAWmT1CU56JjzpO8ZM85H0knDmVoZ+RqRZUZIzyRkkk0uf9KmQ37+BMc8OHAuZZjm66I7njw4jJlRymzSxwAeXWFsBNL0fdJsSAAEZSvz6IwnD7ZI/RFZek9CpsEJ0jqMdBg3STP4eoj0Oefrpw0e2+PxP55+wTS3QLcRvAcSNkqdIr2HOYzjE24iz8w6cwiWJKkcx5PlenyNZTzSWW9Vo3pe+8zTjcDRWUp4iE9br4VxmBhmm+PRzdS1hc3tS1K7xmu9utBMDtP5PILH9niSGIRBt8JExIwgjmn8ngu6kH5bNbPTBwRZB6avnQUGj4vxJPGUdNbGiTmNrhn+7qqjNLyoOa0+jSm4/81hw/imoOBxNR4PNuLDpDZ8zwHzmHTHZCo7T9qGcdrGoPtDAqDPcLB8rhUHwaNjHPmGLUR8wuYx43FJEeMZglnmes8OrtNrkqY44q9husZwJXUM6d+jL6ZWostKRG1BaEIewVjqwCXryYzXmzLwS0IJ4UripqaxZJaQnYKkKakPKHtFL8Eh08gEuuz4zFUQ3ZJ6G86T1qukXRIQLMPL8Wn24h7GHEtTUpfSd5PDxjhtCfow4bhuSd1G8ByJrOq/x8ffmDfjCqZxuo8tRqekLo+timSe7ZjjXBZ/HZJZolamdUvqYpgrwryKLvi9CJkpRU3V05TUJ5XsUqsEvF1hDm/oOd/PvU3etwKvDysSpi2pS5GwYnCQ8NYFXpbYVY0N5LMR/mbN52nSltRdLU+YGG3pBHVAMyyMmnpA6QR1wLhKv8TAPmesCf426QQVjJBOUMEIm52gNjtYs9KOmfUusu6SsrQRrKrY7gS11cGaB69UY0tOKyZAbEfWJST0M45pJ2gWsnaw2vJ4LUrWHp10gtow5y47RhUeVx2B4PktOcV+J2gWsnaw5gX7nanAuJ5L6LjrvExL0R2sfnrxmDqAN/ujwjf81ZKydYLa6GA1HRf7rjn4Pm81gVcBtlR5i7lOKbLzMkhZOlg9FiLOz01/y3UPnKI7L/2UqYM1zrDrHKs8Zei89ChbB6vHz4gs2APvU0tcd14mUbYOVo9hBNCgOv4XK4PwPON1DJyydYImGdqixz2ijv8fzz5mXHejXvwPK7Ki9qSMClMAAAFVdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPkc8L21pPjxtbz4oPC9tbz48bWk+eDwvbWk+PG1vPik8L21vPjxtbz49PC9tbz48bWZyYWM+PG1yb3c+PG1uPjI8L21uPjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4rPC9tbz48bWk+eDwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bW4+OTwvbW4+PC9tcm93Pjxtcm93Pjxtc3VwPjxtaT54PC9taT48bW4+MjwvbW4+PC9tc3VwPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjI8L21uPjxtaT54PC9taT48bW8+JiN4MjIxMjs8L21vPjxtbj44PC9tbj48L21yb3c+PC9tZnJhYz48L21hdGg+cyEhsAAAAABJRU5ErkJggg==)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![y equals negative 5 x space straight & space 25 x plus 5 y equals 1](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![y equals negative 5 x space straight & space 25 x plus 5 y equals 1](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALEAAAASCAYAAAAUoT+FAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAARqpSybAAAArpJREFUeNrtWU1kHVEYfZ6Iqm4qniyyKFFVERWii+qiSkREPFEiIiqidFlPNl1VRITq4i0quqkuqiJUVVRFqIiIiFBRTxZVqssuQhddRMQjPZ+ecD3zc2c68747eg9HZib3ju/nzL3f/V6pVDycRTBr9ICb4Cn4BRywmHMbfAf+NuZNK/vhanyT4Br4hPEsPNoZzF3wLq+Hwa8Wc7bBKfAS7/v4nilFP1yNbxK8AR86bJ+zQZaVtMxr+Xuc8j1XwIayWM4KLuJY+16BkwHPa+BSgUX8AHwa8HyR/4vDFjjKaykJXvyD3SeKfuQhYi3NhNo3Az5reXYR/AZ2Jayb8q6fkr77AOw27mfBZcu5Q+APlgjPwY6UNt9iSaHlRx4i1tJM6DhZbd62PJtnIe3idnLKg9M6OGfUn0EYAeuGKDcTJOkneETBpMUFcJ8HPg0/0ojYxi4tzYT6IV/OoXFfAb8zARqnYJsvU1bFQQZNDlzXI8Z+Au/wZNtlYdsEuAFeZhI3YkqDMMj8NR4K2+1H3vHV0Ezsx2geWuqsbfIKUNYY5pYfhhpXlxsJtu6KkUxJzoCxZTYs3tFLAV9V9COrA1uYXRqaiRy3w8D3MmnlgnUtwlbH875tPaDNZdOVEFRZEpyXGfMx82XVeknBa/qRZdfhxBHNRPrxmslaAe8XTMD9DGLQaviBYpK67rNlORH0A4XUf4/YsYh6RzfHdjjgR1YiDrNLQzORftTYNmk4Ltj3PO2XyREG+F7LuAoPJmayx0p/m+ZxkMT8YgupTEE+BpusS6PwMaaubacfaURsa5eWZiL9GOeAquMinmAbp0mhyap3s2VMJ5PREzB/lYmJwyhXvCa3UukGLDBGCylrPw0/8oivhmasamgxZK/k4WEP5zSzzm3Ew6OQmulnLefh4TXj4eHh4eHh8b/hDytmHtEl4xdfAAABHXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT55PC9taT48bW8+PTwvbW8+PG1vPiYjeDIyMTI7PC9tbz48bW4+NTwvbW4+PG1pPng8L21pPjxtbz4mI3hBMDs8L21vPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj4mYW1wOzwvbWk+PG1vPiYjeEEwOzwvbW8+PG1uPjI1PC9tbj48bWk+eDwvbWk+PG1vPis8L21vPjxtbj41PC9tbj48bWk+eTwvbWk+PG1vPj08L21vPjxtbj4xPC9tbj48bXNwYWNlIGxpbmVicmVhaz0ibmV3bGluZSIvPjwvbWF0aD4qPnh3AAAAAElFTkSuQmCC)
Maths-General