Question

Can someone help me

Answer 1

The y-intercept is the y-coordinate of the point that has zero as its x-coordinate.

First, we find the y-intercept of function f.

f(x) = 3x - 9

Let x = 0, and solve for f(0).

f(0) = 3(0) - 9

f(0) = -9

The y-intercept of function f is -9.

Now we find the y-intercept of function g.

We are told that both functions are linear, so equal changes in x produce equal changes in y. Look at these two points in function g: (3, 10) and (4, 14).

As x goes from 4 to 3, y goes from 14 to 10. When x is 1 less than it was, the corresponding y is 4 less than it was. That allows us to find the y-coordinate when x = 0. When x = 1, y = 2. By subtracting 1 from x, you must subtract 4 from y, so when x = 0, y = -2. That gives us point (0, -2). The y-intercept of function g is -2.

Now we subtract the y-intercept of f(x) from the y-intercept of g(x).

g(0) - f(0) = -9 - (-2) = -9 + 2 = -7

Answer: -7