Question

What is the distance between the y-intercept of the function f (x) = 5(2) and they-intercept of the linear function, g, represented by the table below?

Answer 1

We need to calculate first the function g(x)

First we calculate the slope

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-5+11}{-6+9}=2$$g(x)=2(x+9)-11$$g(x)=2x+7$

the y-intercept of the function g(x) is 7

the y-intercept of the function f(x) is 10

the distance between the y-intercepts of both functions is 3 units