Question

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

Explanation:

Step1: Recall slope-intercept form

The slope-intercept form is $y = mx + b$, where $b$ is the y-intercept.

Step2: Rewrite given equation

The equation $y = -5x$ can be written as $y = -5x + 0$.

Step3: Identify y-intercept

Compare with $y = mx + b$, so $b = 0$.

Answer:

b. 0