## Thinking Mathematically (6th Edition)

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