what is the rate of change of y with respect to x for this function

Question

x y

-4 10

0 3

8 -11

Answer 1

rate of change of y with respect to x = (10-3)/(-4-0)

= -7/4 =-1.75

f(x) = y = (-7/4)x + 3

f'(x) = dy/dx = y'(x) = -7/4

slope = -7/4 when you plot the 3 points and draw a straight line through them

the line is 7x+4y = 12