Question

question 1 of 10
what is the y-intercept of the line given by the equation below?
y = 8x + 7
a. (8, 0)
b. (0, 7)
c. (7, 0)
d. (0, 8)

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 the y - axis, the value of $x = 0$.

Step2: Identify the form of the given equation

The given equation is $y=8x + 7$, which is in the slope - intercept form $y=mx + b$ with $m = 8$ and $b = 7$.

Step3: Find the y - intercept point

To find the y - intercept, we set $x = 0$ in the equation $y=8x + 7$. When $x = 0$, we have $y=8(0)+7=7$. So the y - intercept is the point $(0,7)$.

Answer:

B. (0, 7)