Maths-
General
Easy
Question
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 6 comma 4 right parenthesis semicolon space 2 x plus 3 y equals 18](data:image/png;base64,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)
Hint:
- Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
The correct answer is: y = -2/3x + 8
- We have to write an equation of a line that passes through the given line and is parallel to the given line.
Step 1 of 1:
We have to find a line passes through a point (6, 4) and parallel to a line 2x + 3y = 18
Since two parallel lines have same slope.
So, Slope of the line will be ![fraction numerator negative 2 over denominator 3 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAB8AAAAjCAYAAABsFtHvAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAOpJREFUeNpjYKAesAbiNUD8CYh/AfEFII5moBM4CMSRQMwD5WsB8VGo2IAAeSC+xDCA4MdAWWwJDXq6Aw4gPglNiCSD/0RgXEAQiDcAsRu9fawEtViF3hZrAPFsIOait8XiQLwKiFkGIoFtgfp8QAA5CXMUjILBl1qpjUfBKBgawBGItwHxN2j77BYQTwBiYXpYvh+Ig4CYDUnMAIh3DGSIfBooi0FNpxsD0XpJhMa710AVxQUDEdygJnIAtH1uP1BxzgN1wMjrk+lBEx1d+uGh0PY5E7TEuw/E8fSw3BbaRv8BxaASz4ccgwBhflK6Pkz/twAAAHl0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1yb3c+PG1vPi08L21vPjxtbj4yPC9tbj48L21yb3c+PG1uPjM8L21uPjwvbWZyYWM+PC9tYXRoPvsXteYAAAAASUVORK5CYII=)
Therefore the equation of the line will be
![y minus 4 equals fraction numerator negative 2 over denominator 3 end fraction left parenthesis x minus 6 right parenthesis](data:image/png;base64,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)
![y equals fraction numerator negative 2 over denominator 3 end fraction x plus 8](data:image/png;base64,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)
Related Questions to study
Maths-
Asthon said the graph of
has a horizontal asymptote at
. Describe and correct Asthon's error.
Asthon said the graph of
has a horizontal asymptote at
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Maths-General
Maths-
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis negative 3 comma 2 right parenthesis semicolon space y equals negative 4](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis negative 3 comma 2 right parenthesis semicolon space y equals negative 4](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 7 plus 1 fourth n](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 7 plus 1 fourth n](data:image/png;base64,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)
Maths-General
Maths-
How can you graph a rational function ?
How can you graph a rational function ?
Maths-General
Maths-
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 2 comma 7 right parenthesis semicolon space 3 x minus y equals 5](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 2 comma 7 right parenthesis semicolon space 3 x minus y equals 5](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHYAAAARCAYAAAAIVljzAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAt5JREFUeNrtWUFkXEEYftZaEblERA45hNVDVMQSOURFlYpVtVaIiqqqElFRq/fooUr0sHrorXqoiqWqImKVqlirolRF9FAheu6lhz3EWiH9pr7lZTrzdmb2zctW9uNj33v/zsyb/5///2ZeEJzFA3AjSAYb7K8Pz5gG9xLu8zP77cPzJOdC11fAd2ADbIH74G3Dtk47sI0ZsO4w1mtgFTwGm+Ah+BwcuSC+Mpnbv8jRsWHUwGVwiNeXabPcxYCWwJfSvTodbINdcBHMSO/w4QI51gjPwDUDuwnwwHEwY3TigHT/YYx1vdF37FmISJ83tG06DmZbSvVtzIGfYnjZLPhDcf++JnCe8FmceAXeUtwvgU/Pw7ENKa3pMKdI2SZYBdc1zzLSSqtw4EWLTHCPdfaGxuYb7doQ9i88rKS7zH5hDHJsIw5a5LRbx54Y2IgU+oWiygYT/F86wqbl4Fh5AkoRtnmwzN/XY8oQKojAeivdexwR1N2s2BYXhBCRj0JayMqxw+AWuOAwiBpVbGDoWFsMMwhE8FyNsPvI5/sG6tl1JYl2v4euR8Ejha6IC2kKz3WWoUmbVJylUy85quBqB5tMTKJniM7VocQA8r1vPg79LnfIJK4BpMICF9E/0axKsZPcngw6vGCKUZQzqNtxpUadsGvvyctdbtdMUOdiyHK1phJUy02T7c4Y60XasZOiKoIUWFMIDhdMU6SoMs42g1Os6q+eDzJegwVwE7yToFOnGEgdDyh2VDlbAZ3YqVB9mkT4jKV4qjHNp7kiRA3/SVUaSDWuKjnyJvjG4wSXuO058NjHe2a6FJmnUxdVxntS/THN+zpH/KKwiYLqSNHEsfMMvCa5S4fJtVtMwLgmGPOeJr3I8Rc8OnaJ2UmI3t/MrLNRqcz1I0AlYg8ZBd1HANf2egGFIPmPKUYHCbbHezlKfNtaLOrqSozt9QqqTJP/PcalU51eay9JTLFEnDv+ACrRyUfviou2AAAAzXRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtbz4oPC9tbz48bW4+MjwvbW4+PG1vPiw8L21vPjxtbj43PC9tbj48bW8+KTwvbW8+PG1vPjs8L21vPjxtbz4mI3hBMDs8L21vPjxtbj4zPC9tbj48bWk+eDwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bWk+eTwvbWk+PG1vPj08L21vPjxtbj41PC9tbj48L21hdGg+p1uHcwAAAABJRU5ErkJggg==)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 7 over 2 minus 3 n](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 7 over 2 minus 3 n](data:image/png;base64,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)
Maths-General
Maths-
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 5 comma negative 4 right parenthesis semicolon space y equals 1 fifth x minus 4](data:image/png;base64,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)
Write an equation of a line that passes through the given line and is parallel to the given line.
![left parenthesis 5 comma negative 4 right parenthesis semicolon space y equals 1 fifth x minus 4](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 35 plus 52 n](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 35 plus 52 n](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 12 n minus 29](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 12 n minus 29](data:image/png;base64,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)
Maths-General
Maths-
Identify the asymptotes and sketch the graph of ![straight g left parenthesis straight x right parenthesis equals fraction numerator straight x squared minus 5 straight x plus 6 over denominator 2 straight x squared minus 10 end fraction](data:image/png;base64,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)
Identify the asymptotes and sketch the graph of ![straight g left parenthesis straight x right parenthesis equals fraction numerator straight x squared minus 5 straight x plus 6 over denominator 2 straight x squared minus 10 end fraction](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 108 minus n](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 108 minus n](data:image/png;base64,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)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![y equals 4 x plus 1 space straight & space y equals negative 4 x minus 2](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![y equals 4 x plus 1 space straight & space y equals negative 4 x minus 2](data:image/png;base64,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)
Maths-General
Maths-
Write recursive formula and find the first term. ![a subscript n equals 10 plus 8 n](data:image/png;base64,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)
Write recursive formula and find the first term. ![a subscript n equals 10 plus 8 n](data:image/png;base64,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)
Maths-General
Maths-
Are graphs of the equations parallel, perpendicular or neither?
![x minus 3 y equals 6 space straight & space x minus 3 y equals 9](data:image/png;base64,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)
Are graphs of the equations parallel, perpendicular or neither?
![x minus 3 y equals 6 space straight & space x minus 3 y equals 9](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKcAAAAPCAYAAACBWd9vAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAMyZLetQAAAvtJREFUeNrtWU9kHFEcHrEiKkrFisqhrKqqilBVVRXLqlq1okRF1KrQQw61eumpKipUD1FVpSqHqgoVOURFiFgrqkqsVT1UqJ6qh9JDVKyxtN8vvuGZvrczye7sTL35+GQzOy/vN9/v/f5NHCce5ME1cA9sgjvgE3DIiRfnwbfgLu1aBcdDrBsBN0EXbIBjTvKQRM1F2y3aI3Ytg7m4haqC18F+5Zo4dD1Gm27zMJ7i70fBaYoXhPd0vuAK+CWBhzNpmotOn5kQ+sAMOEPthhOo337GigNnwO0O1rsU2OHPPef/QVyabxuy5CT42H9RTu0jzc0P+V3UyGkyziJ4Q3NvBZzv4t4vwKkOs1KRnyXbPg+5zmbNW4brEtx13Rd1X0q9BT6LWKBh7rOjONhDWRNFR3ivrlf6E4I6iIOOd/AMBfAbWAOfskSFha2afwXPaa6fMFWeq+CCIvhmhAL5H6CiuafIAUXFA/B+l21pstdcoTAuy850iLXizB/gTzr8oLBV80kG9DizpfAag9U1LdrggkaISe6wUaPiGDgBftRMxkNsmj1kGXEDETitTsdkKNQlZovZAIHX+Qx3NcNFM+T+NmruTetV6tRkUJxs17NXeHJHe9wgD1IsP1RDFwzR3qnjdvk6yA+ZZr8HlOQsP2foxDGlFH4K+ew2am7CgMGm/WyxTIOmnN5Dl2m22Ljn6Py+CPZda/N33ZBTuqCkCFtmOQyCrZqbkOdA+M/ktsqIH2TP1csXtKMso368otPfgDcj2nvWMKGeNkUx0dD0pVKa7rBcBelns+YmzPurWJbZQxVGmtPXERlQY7/m9Xd5NsdlQ8lbPECJPAz6adOMMmlf4J6FNuvEgb94sL0Xyff4mmQjYE/bNZfBT/2nwAiHrpLfMSuGnmuJ02S3cRl8pzTCVTpGhwn2LaWII1YOy0vwNw9XjXYGociM1+KziOhztHmuTTDYrnmBNrTY8y/F0HN3DBHog5Mi1TyBkNJ3MZUh1TxpOMtSlMJCzf8CxJMM0Dq3I7sAAAEGdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPng8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjM8L21uPjxtaT55PC9taT48bW8+PTwvbW8+PG1uPjY8L21uPjxtbz4mI3hBMDs8L21vPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj4mYW1wOzwvbWk+PG1vPiYjeEEwOzwvbW8+PG1pPng8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjM8L21uPjxtaT55PC9taT48bW8+PTwvbW8+PG1uPjk8L21uPjwvbWF0aD66W1ZDAAAAAElFTkSuQmCC)
Maths-General
Maths-
What is the graph of ![f left parenthesis x right parenthesis equals fraction numerator 4 x squared minus 9 over denominator x squared plus 2 x minus 15 end fraction](data:image/png;base64,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)
What is the graph of ![f left parenthesis x right parenthesis equals fraction numerator 4 x squared minus 9 over denominator x squared plus 2 x minus 15 end fraction](data:image/png;base64,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)
Maths-General