Question

question 10 of 25
what is the y-intercept of the line given by the equation
y = 5x - 21?

a. (0, 5)

b. (0, -21)

c. (0, -5)

d. (0, 21)

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. The $y$-intercept is the point where the line crosses the $y$-axis, and at this point, $x = 0$.

Step2: Identify $b$ in the given equation

The given equation is $y=5x - 21$. Comparing it with $y=mx + b$, we can see that $m = 5$ and $b=- 21$.

Step3: Find the $y$-intercept point

Since the $y$-intercept occurs when $x = 0$, we substitute $x = 0$ into the equation. When $x = 0$, $y=5(0)-21=-21$. So the $y$-intercept is the point $(0,-21)$.

Answer:

B. (0, -21)