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Teachers & SchoolsStudy Guide

The *x*- and *y*-intercepts of a line are the points where the line intercepts, or crosses, either the x-axis or the y-axis.

the point where the line crosses the*x*-intercept:*x*-axis. Notice that the*y*-value is 0.the point where the line crosses the*y*-intercept:*y*-axis. Notice that the*x*-value is 0.

An intercept can be written in (*x*, *y*) form or in words, like "the *x*-intercept is 2." It *can't* be written as *x* = 2, because this is an equation of a vertical line going through the point (2, 0).

Let's find the *y*-intercept of the equation *y* = 2*x* + 1. To find the *y*-intercept, we substitute 0 in for *x* and then solve for *y*.

*y* = 2(0) + 1 *y* = 1

So the *y*–intercept is where *x* = 0 and *y ¬*= 1, or the point (0, 1).

To find the *x*-intercept, we replace *y* with 0 and then solve for *x*. First off, subtract 1 from both sides.

0 = 2*x* + 1

0 – 1 = 2*x* + 1 – 1

-1 = 2*x*

Now divide both sides by 2.

So the *y*-intercept is where , or the point .