Answer:
r = -17
Explanation:
You want the value of r such that point (-4, r) lies on the line through point (-8, 3) with slope -5.
Equation
The point-slope equation of the line is ...
y -k - m(x -h) . . . . . . line with slope m through point (h, k)
y -3 = -5(x -(-8)) . . . . line with slope -5 through point (-8, 3)
Find r
Using the given value of x, we can find the y-coordinate of interest.
r = -5(-4+8) +3 . . . . . . substitute for x and y, add 3
r = -5(4) +3 = -20 +3 = -17
The value of r is -17.
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