Answer
$y=-4x$
![](https://gradesaver.s3.amazonaws.com/uploads/solution/f455b157-d740-4fde-8abc-eb565b4537ba/result_image/1597503890.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240908%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240908T001940Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=b355ce07003c5d7525703c055a73b5b00c6754ab7df00e63860487c6487e400e)
Work Step by Step
Start with a direct variation equation:
$y=ax$
Plug in given values:
$8=a.(-2)$
$a=\frac{8}{-2}$
$a=-4$
Hence, the completed equation is: $y=-4x$.
The y-intercept is $0$. Plot a point $(0,0)$.
The slope is $-4$. Plot another point $(1,-4)$.
Draw the graph.