Question

given the linear equation $y = -3x + 7$, what is the y-intercept of the line?
show your work here.

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.

Step2: Identify $b$ in the given equation

In the given equation $y=-3x + 7$, comparing it with $y = mx + b$, we can see that $m=-3$ and $b = 7$. The y - intercept is the value of $y$ when $x = 0$. If we substitute $x = 0$ into the equation $y=-3(0)+7$, we get $y = 7$.

Answer:

The y - intercept of the line is 7.