Question

question 6 of 10
what is the y-intercept of the line described by the equation
below?
y = -5x + 7
a. (0, 7)
b. (0, 5)
c. (0, -5)
d. (0, -7)

Explanation:

Step1: Recall the 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. The y - intercept is the point where the line crosses the y - axis, and at this point, $x = 0$.

Step2: Identify the y - intercept from the given equation

For the equation $y=-5x + 7$, comparing it with $y=mx + b$, we can see that $b = 7$. When $x = 0$, we substitute $x = 0$ into the equation $y=-5x + 7$. We get $y=-5(0)+7=7$. So the y - intercept is the point $(0,7)$.

Answer:

A. (0, 7)