A system of linear equations is represented by line $$h$$ and line $$j$$ . A table representing some points on line $$h$$ and the graph of line $$j$$ are shown. ![](http://admin.getprephub.com/media/editor/Screenshot%202023-05-29%20at%2012.57.13%20PM_20230529105809422557.png) Which system of equations is best represented by lines $$h$$ and $$j$$ ?

Answer The line $$h$$ is passing through $$(-16,7)$$ and $$(-8,1)$$, we have, $$ \frac{y-7}{7-1}=\frac{x+16}{-16+8} $$ $$ \frac{y-7}{6}=\frac{x+16}{-8} $$ $$ \frac{y-7}{3}=\frac{x+16}{-4} $$ $$ y=\frac{-3}{4}(x+16)+7 $$ $$ y=-\frac{3}{4} x-12+7$$ $$y=-\frac{3}{4} x-5 $$ The equation of $$h$$ is $$y=-\frac{3}{4} x-5$$ The line $$j$$ is passing through $$(-4,6)$$ and $$(4,-4)$$, we have, $$\frac{y-6}{6+4}=\frac{x+4}{-4-4} $$ $$ \frac{y-6}{10}=\frac{x+4}{-8} $$ $$ \frac{y-6}{5}=\frac{x+4}{-4}$$ $$ y=-\frac{5}{4}(x+4)+6 $$ $$ y=-\frac{5}{4} x-5+6 $$ $$ y=-\frac{5}{4}+1$$ The equation of $$j$$ is $$y=-\frac{5}{4}+1$$ Therefore the correct option is $$y=-\frac{3}{4} x-5, y=-\frac{5}{4} x+1$$

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A system of linear equations is represented by line $h$ and line $j$ . A table representing some points on line $h$ and the graph of line $j$ are shown.

Which system of equations is best represented by lines $h$ and $j$ ?

Select all that apply :

$y=-\frac{3}{4} x-5, y=-\frac{5}{4} x+1$

$y=\frac{4}{3} x-5, y=\frac{4}{5} x+1$

$y=\frac{3}{4} x-5 , y=\frac{5}{4} x+1$

$y=-\frac{4}{3} x-5, y=-\frac{4}{5} x+1$

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