Question

Marion compared the y-intercept of the function f(x) shown in the table below to the y-intercept of the function g(x) graphed below

What is the distance between the y-intercept of f(x) and g(x)

Answer 1

difference is 12 units

Explanation:

line shown has a y-intercept of -4

now find y-intercept of f(x) by first finding its slope:

(-2,0) and (2,-32)

m = (0+32)/(-2-2)

m = 32/-4

m = -8 (slope)

Now find the y-intercept (or 'b') from substituting into 'y=mx+b':

0 = (-2)(-8) + b

0 = 16 + b

-16 = b (y-intercept)

-16 - (-4) = -12