Chapter 5.8, Problem 6STP

For Exercises $1-6,$ choose the correct letter.

What is the $y$-intercept of $y=|x+8|$?

F. $-8$

H. $\frac{1}{8}$

G. $-\frac{1}{8}$

I. 8

To determine

To Select: The right option for the y-intercept for the given equation.

Answer to Problem 6STP

Option I.8 is right.

Explanation of Solution

Given information: $y=\left|x+8\right|$

Formula used: Y-intercept is a point where the graph crosses the y axis. At y intercept the value of x is 0.

Calculation:

Plug in x as 0 into the equation then solve it for y.

  $y=\left|0+8\right|$

  $y=\left|8\right|$

  $y=8$

Hence, y intercept is at 8.