Answer
y=-x
Work Step by Step
The point-slope form is y=mx+b.The formula for slope is m=$\frac{y2-y1}{x2-x1}$
Using the point from the graph;
(-1,1)(1,-1)
The slope is m=$\frac{1-(-1)}{-1-1}$=$\frac{2}{-2}$=-1
Using the point-slope formula and (1,-1) and m=-1:
$-1=-1(1)+b$
$-1=-1+b$
$0=b$
Plug these values into the point-slope form so the equation is
$y=-1x+0$
$y=-x$