Question

students compared the y-intercept of f(x) =12x + 6 and the table shown below. What is the difference when the y-intercept of f(x) is subtracted from the y-intercept of the function shown in the table?

Answer 1

9

Explanation:

The Y-intercept of any graph or equation is determined when x = 0.

For the first equation, we can solve for the y-intercept by having x = 0.

f(x) = 12x + 6

f(x) = 12(0) + 6

f(x) = 6

The table gives us a list of coordinates of the second equation. One of the coordinates listed has x = 0 which will make our y-intercept equal to -3.

To find the difference, we subtract f(x) y-intercept from g(x) y-intercept which will look like this:

[f(0) - g(0)]

6 - (-3)

= 9

Therefore, the difference between the y-intercepts for both equations will be 9.

Hope this helps :)