## Thinking Mathematically (6th Edition)

To find the y-intercept of a linear equation, set $x=0$, and then solve for the value of $y$.
The y-intercept of a linear equation is the point on the y-axis where the line crosses. Note that all points on the y-axis have a x-coordinate of $0$. Thus, to find the y-intercept of a linear equation, set $x=0$, and then solve for the value of $y$. Example: To find the y-intercept of $y=2x-4$, set $x=0$, and then solve for $y$ to obtain: $y=2x-4 \\y = 2(0)-4 \\y=0-4 \\y=-4$ Thus, the y-intercept is $-4$.