Question

what is the y-intercept of the graph of $y = 3x + 7$?

Explanation:

Step1: Recall 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 value of $y$ when $x = 0$, and it represents the point where the line crosses the $y$-axis.

Step2: Identify $b$ in the given equation

In the equation $y=3x + 7$, comparing it with the slope - intercept form $y=mx + b$, we can see that $m = 3$ (the slope) and $b = 7$ (the $y$-intercept). When $x = 0$, we substitute $x = 0$ into the equation: $y=3(0)+7=7$. So the $y$-intercept is 7.

Answer:

7