The fully simplified slope-intercept equation is : y = -4x/3 -4
The equation of the line written in slope intercept form is stated thus :
- y = bx + c ; b = slope , c = intercept
Using pair of points: (-9, 8) , (-3, 0)
Slope, b = (0 - 8) / (-3 - (-9))
slope = -8/6
slope = -4/3
The intercept, c is the value of y when x = 0 ; From the graph, (0, -4)
Hence, c = -4
Now we have ;
y = -4x/3 -4
Hence, The fully simplified slope-intercept equation is : y = -4x/3 -4