Question

find the y-intercept of the line represented by the equation below.
y = x - 4

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a line is given by $y = mx + b$, where $m$ is the slope of the line and $b$ is the y - intercept. The y - intercept is the value of $y$ when $x = 0$.

Step2: Identify $b$ in the given equation

The given equation is $y=x - 4$. Comparing this with the slope - intercept form $y=mx + b$, we can see that $m = 1$ (the coefficient of $x$) and $b=- 4$. Another way to find the y - intercept is to substitute $x = 0$ into the equation. When $x = 0$, we have $y=0 - 4=-4$.

Answer:

The y - intercept of the line $y = x-4$ is $- 4$.