Maths-
General
Easy
Question
Find the equation for a path that passes through the point (-4, 9) and is parallel to
.
Hint:
- Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.
The correct answer is: y = -3/4x + 6
- We have been given an equation that represents y-axis.
- We have to find an equation for a path that passes through the point (-4,9) and is perpendicular to
![y equals fraction numerator negative 3 over denominator 4 end fraction x plus 1](data:image/png;base64,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)
Step 1 of 1:
We have given a line passes through a point (-4, 9) and parallel to a line ![y equals fraction numerator negative 3 over denominator 4 end fraction x plus 1](data:image/png;base64,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)
Since two parallel lines have same slope.
So, Slope of the line will be ![fraction numerator negative 3 over denominator 4 end fraction](data:image/png;base64,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)
Therefore the equation of the line will be
![y minus 9 equals fraction numerator negative 3 over denominator 4 end fraction left parenthesis x plus 4 right parenthesis](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIQAAAAjCAYAAABVXaLxAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAvhJREFUeNrtmsFnHFEcx5+oVZVLrcohhxI9VizRQ1StEFW1VpSoHCoiVFVU/oHqocrqIXropYceqipU5FC1QlRFVCwVFVVVov9DDxWxtL9f9zsxfZ03+2Y7b2b2ze/Dl9iZYd5vfu/3vu/3opQQxwypTfpJOiJ9Iz0hVSU05eQ96QapEvqtRtqS0AhhfkgIhIAJ0lcJgzBGWoKPuC7hKC+/NK1KSPz9uFEycZY0R+qQ6hJKIWAUSSEIJxxJCISASRhLG+6SWgUeSwvvKFiyQ5onnSKNqF7n8jtp0TJx9oZgjB/wrrnBhmwXZZdbwhvY2xeRK6S3eFcWdy4bCQJdK9BYGgbTPIXvkQtXSZ9JlzDjeOYtq16jZ8yjylJDQhTJCH+J2UXtIjEy56OhGnBZfuxRQvBYVhxunZPyDBPP9Ow93es8J92MuJGbMI9SHEzX8DtXi32PEmILy43OssFkPsQ1FwlxmfSuz7PToXv+sBgxQ8/ATad51HtoKE3n4SdMARi0mZQXfPhVMVzb15ZHboc/dVQh+B0OEN+4ZytKO7Dj3vxr7aYHpPspB2oeLr2OqjACs8NBOvaoQnRjrl0jreHvWX1mppwQLW3pinv2r/hXYfYCzmE2n3Ywa+tw64Fz50S8EFMh/ne9zUq2CcFsIw6fLCrwoLGejDC21gmhtA+yprI9xOHE65RkyQi82fGA+3/b8XYw0Wye/WfJCLYeE9AhynlWzMBY+cI2zJzJ5G1g0i04TIgkk2g6aul6QWqSXpFuZRxA3smMl2DbyZPtDQz7KLbhVUcJkeTZlaht/yq2nwcOA8VZGP4fxXEY16byi6jGFPuytpYAbKhfFiAhIhtTc3jA5ceZhaHsYs1aVzn30R2yFxobT4BNQxVcx84jCxK1rptqOA5jsqCRglkd+sOtNsxF2enX90/CHVXs42/2DbejLlxUvVM9oX/fXygRNn1/oSTY9v2FkpCk7y94TtK+v+A5Sfr+QgkYtsMzIackEQRJCEES4oTf5aL7bud76IgAAADhdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1pPnk8L21pPjxtbz4mI3gyMjEyOzwvbW8+PG1uPjk8L21uPjxtbz49PC9tbz48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MzwvbW4+PC9tcm93Pjxtbj40PC9tbj48L21mcmFjPjxtbz4oPC9tbz48bWk+eDwvbWk+PG1vPis8L21vPjxtbj40PC9tbj48bW8+KTwvbW8+PC9tYXRoPiG3mIUAAAAASUVORK5CYII=)
![y equals fraction numerator negative 3 over denominator 4 end fraction x plus 6](data:image/png;base64,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)
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Maths-General
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Maths-General
Maths-
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript minus 21 semicolon a subscript 1 equals 56](data:image/png;base64,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)
Write explicit formula. ![a subscript n equals a subscript n minus 1 end subscript minus 21 semicolon a subscript 1 equals 56](data:image/png;base64,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)
Maths-General
Maths-
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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)
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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)
Maths-General
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,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)
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,iVBORw0KGgoAAAANSUhEUgAAAGYAAAAjCAYAAABmSn+9AAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAxFJREFUeNrtWzFoFEEUHUQOCTYhSBARQVKlOAIWIiFIwEIkRThIkUokIBJCsLO0EEGCSBAbC7EQsZErRORAJIRwhIBIkBBECBYidhYhhOUInO+TfzhuZvZmZndvLzvz4MHdzDE3t2925v+3/4QoN6bAdh/MYxL8AO6DEfgdXAaHhIc4DW73iTArYA2sSG1jYMNHYZ6Dc30ijA67vokyDn7i1zphSLRHivYH3Jc3LoLffBKFtouv4IUuwhC+gMPS+1vgs5znN8zfQ+fMDZ+EobtgQXqfJMx18Am/vibdZXmgHeNdn0Spgk3FBUnCR/AquGkQJbUN2A2D4DS4wd/rBejHjlgKQyu3xaL2Omrc8EUY29VMQcJb3s5mC5hvlNVA85pIptueP1+wWLqo6B04wKv3c48TvioHAFY4EYtWOgOtO06iWcBWkSTMGc7Eh2Iuwauc5rAKzoAn+dqSE/ADvGkzCEUqf5hbPFjn4o45TuwSuNYnwlA4XQfPKT77hn9/1pgA3/PWFbETMGUzAInwSxJgVLIPmiknt8YCBTigxqsmjqVYbuCCRYfzKYBxH7ynaG/w7ZjG1riScwJXWtRjoaUcPu6K/51RF1ujIvSmXRaJW6lBptp5RftBRrZGK6x/e1AYt6/pO8jI1shDmHbJeASXOYxTIWkrM7U1wlbmCDpTXibcEeOaPlNbIxz+jngK3tb06cJlG1tjgccJcIjKdA9uVAmmra0REkxHkAVzKqF/XTpDbG2NIi2ZYw1a/b+7fOa4mphFYICPhj1x6I01NIs4Ecucv5jYJXccbJWlhLOrrHgBPhSH3mOFr5n1QzHaZmph0zDKl0wRKXLEkFwrkEWpko0wexylysL8DDKokbZUyUYYOl8WYznc4yCBGmlLlWyEqfLWRVzlwGoiSKBHL0qVqNDwNXhW/LOx6Bzf8SwytUKaUiXTO6auGZ+e868ECY4ibamSqTCRY5+XyKJUyVQY+uvHiKJ91CCJ987VyKJUyVSYGoszyWFyp1xphxP0AFFMqRJhhsPzFm9fFJlN2wzwF1NaFLU6yb26AAAA53RFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtaT5mPC9taT48bW8+KDwvbW8+PG1pPng8L21pPjxtbz4pPC9tbz48bW8+PTwvbW8+PG1mcmFjPjxtcm93Pjxtbj40PC9tbj48bWk+eDwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bW4+MzwvbW4+PC9tcm93Pjxtcm93PjxtaT54PC9taT48bW8+KzwvbW8+PG1uPjg8L21uPjwvbXJvdz48L21mcmFjPjwvbWF0aD621G9YAAAAAElFTkSuQmCC)
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