Question

A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.

Answer 1

Answer:

x-intercept = 3

y-intercept = -2

Step-by-step explanation:

P.S - The exact question is -

Given - A function g models a relationship in which the dependent variable doubles for every 3 units the independent variable increases.

To find - Graph g when g(0) = -2. Identify the y-intercept and x-intercept.

Proof -

By using the given information , we get

g(x) = $\frac{2}{3} x - 2$

g(0) = 0 - 2 = -2

It also satisfy the condition g(0) = -2

Here,

by comparing with general form of slope-intercept form y = mx + c

where m = slope, c = y-intercept

Slope, m = $\frac{2}{3}$

For x-intercept,

Put y = 0

⇒$\frac{2}{3} x - 2$ = 0

⇒$\frac{2}{3}x = 2$

⇒x = 3

So,

x-intercept = 3

For y-intercept,

Put x = 0

⇒y = 0 - 2

⇒y = 2

∴

y-intercept = -2