Question

Angel compared the y-intercept of the graph of the function f(x)=6x+17 to the y-intercept of the linear function g(x), given in the table.

x_____g(x)

-7 -9

-5 -1

-3 7

-1 15

The difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x)

is:

A. -6

B. -4

C. -2

D. 2

E. 4

F. 6

Answer 1

So, the y-intercept of f(x) is 17.

So, the correct answer is not one of the options provided, as the difference is -26.

Explanation:

To find the y-intercept of the function f(x), you can set x = 0 and solve for y:

f(x) = 6x + 17

f(0) = 6(0) + 17

f(0) = 0 + 17

f(0) = 17

So, the y-intercept of f(x) is 17.

Now, let's find the y-intercept of the linear function g(x) from the table. When x = 0, g(x) is -9.

The difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x) is:

g(x) y-intercept - f(x) y-intercept = (-9) - 17 = -26

So, the correct answer is not one of the options provided, as the difference is -26.