Write the equation of the line fully simplified slope-intercept form.

=========================================
Work Shown:
Two points on the line are (0,-8) and (1, -5)
Use the slope formula
m = (y2-y1)/(x2-x1)
m = (-5-(-8))/(1-0)
m = (-5+8)/(1-0)
m = (3)/(1)
m = 3
The slope of the line is 3
The y intercept is b = -8 as this is the location on the vertical y axis where the diagonal line crosses it.
Plug m = 3 and b = -8 into y = mx+b to get y = 3x+(-8) which becomes y = 3x-8