# Section 2-5

# Slope-Intercept Form of a Linear Equation

A linear equation in the form

**
***y* = *mx* + *b*,

where *x* and *y *are the
variables and *m* and *b* are
constants, is said to be in slope-intercept form.

Equations in this form are easy to graph, since the slope of
line is *m*, and the *y*-intercept of
the line (the point where it crosses the *y*-axis) is *b*.

**Example: **

Graph *y* = –2*x* + 3.

Since the equation is given in slope-intercept form, we know immediately
that the line crosses the *y*-axis at (0, 3) and has slope –2.
We can quickly use the slope to find a second point (1, 1), and graph the line.