Question

Determine the x- and y-intercepts for the given function. G(x) = -7x - 15 Select one: a. X- and y-intercept: (0, 0) b. X-intercept: (0, -15); y-intercept: (22, 0) c. X-intercept: (0,?157); y-intercept: (-15, 0) d. X-intercept: (?157,0); y-intercept: (0, -15)

Answer 1

x-intercept: ( - 15/7, 0)

y-intercept: (0, -15)

Explanation:

x-intercept is for y = 0

y-intercept is for x = 0

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We have G(x) = -7x - 15 → y = -7x - 15

x-intercept:

-7x - 15 = 0 add 15 to both sides

-7x = 15 divide both sides by (-7)

x = - 15/7 → (- 15/7, 0)

y-intercept:

y = -7(0) - 15

y = 0 - 15

y = -15 → (-15, 0)

Answer 2

d. x-intercept: (-15/7,0); y-intercept: (0, -15)

Explanation:

I find it convenient to start with the equation in standard form:

7x + y = -15 . . . . . . use y = g(x); add 7x to both sides

Now, you can ...

→ find the x-intercept by setting y to zero and dividing by the x-coefficient.

x = -15/7

→ find the y-intercept by setting x to zero and dividing by the y-coefficient.

y = -15

The x- and y-intercepts for the function g(x) are (-15/7, 0) and (0, -15).