Slope-intercept equation of a line

y=ax+b

Result unit: — (line equation)

What it describes

The slope-intercept form of a line;

a

is the slope,

b

is the y-intercept.

a

slope

b

y-intercept

x, y

coordinates of a point

a

tells you how steeply the line rises (its slope), and

b

tells you where it crosses the y-axis. A positive

a

means the line rises; a negative

a

means it falls.

Writing and graphing lines; linear functions.

A line passes through

(0,1)

and has slope 2. Give its equation.

Substitution

a=2

b=1

Result

y=2x+1

Found this formula useful? Share it.

It's free — send it to a friend who's revising.

Teaching? Embed this formula on your site.

Free widget — paste it on your school site, blog or notes. It links to the full version.