How do you graph $\frac{x}{3} - \frac{y}{7} = - 17$ $\frac { x } { 3} - \frac { y } { 7} = - 17$ ?

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Answer 1 · 2017-10-20T18:51:57

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There are many ways to do this problem. Here is one way:

Let's get this equation into standard form by fraction busting this equation by multiplying every term by $21$ $21$ . So:

$\frac{21 x}{3} - \frac{21 y}{7} = (21) (- 17)$ $(21x)/3-(21y)/7=(21)(-17)$

$7 x - 3 y = - 357$ $7x-3y=-357$

Then find $x$ $x$ and $y$ $y$ intercepts by plugging in $0$ $0$ for $x$ $x$ and $y$ $y$ :

$7 (0) - 3 y = - 357$ $7(0)-3y=-357$

$- 3 y = - 357$ $-3y=-357$

$y = 119$ $y=119$ OR as a point: $(0, 119)$ $(0,119)$

$7 x - 3 (0) = - 357$ $7x-3(0)=-357$

$7 x = - 357$ $7x=-357$

$x = - 51$ $x=-51$ OR as a point: $(- 51, 0)$ $(-51, 0)$

Then plot those two points on a graph and connect the dots with a straight line to get the graph in the answer.

How do you graph x3−y7=−17\frac { x } { 3} - \frac { y } { 7} = - 17?