Question

if the equation of a line is $y = -5x$, what is the $y$-intercept?
a. -5
b. 5
c. 1
d. 0

Explanation:

Step1: Recall slope-intercept form

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

Step2: Compare with given equation

The given equation is $y = -5x$, which can be rewritten as $y = -5x + 0$. Here, $b = 0$.

Step3: Identify y-intercept

The value of $b$ is the y-intercept, so it is 0.

Answer:

d. 0