Answer
y=-5x
Work Step by Step
When an equation is in slope-intercept form, or y=mx+b form, m=slope and b=y-intercept. The y-intercept is the y value at x=0. Since the line passes through the point (0,0), the line has a y-intercept of 0 because at x=0, y=0.
Since the line has a slope of -5, we will plug -5 in for m in the equation y=mx+b. We will of course also plug in 0 for b. Therefore,
y=-5x+0
y=-5x