Question

1. what is the y-intercept of the equation $y = -4x + 8$?

a. 0
b. 4
c. -4
d. 8

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept.

Step2: Match given equation to form

The given equation is $y = -4x + 8$. Comparing to $y = mx + b$, we identify $b = 8$.

Step3: Identify y-intercept

The value of $b$ corresponds to the y-intercept, so it is 8.

Answer:

d. 8