IXL | Write a linear equation from two points

A line passes through the points

(

–

)

and

(

–

)

Write its equation in slope-intercept form.

Write your answer using integers, proper fractions, and improper fractions in simplest

form.

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Learn with an example

question

A line passes through the points

(

–

)

and

(

–

)

Write its equation in slope-intercept form.

Write your answer using integers, proper fractions, and improper fractions in simplest

form.

key idea

This is the slope-intercept form for the equation of a line with slope

and

-intercept

This is a formula for the slope of a line that passes through the points

(

)

and

(

)

change in y

change in x

–

solution

First, use the points

(

–

)

and

(

–

)

to find the slope of the line.

change in y

change in x

Find the changes in

and

from

(

–

)

(

–

)

–

Find the changes in

and

from

(

–

)

(

–

)

–

Next, use the slope and one of the points, such as

(

–

)

to find

the

-intercept.

–

Substitute

–

and

–

(

–

)

Substitute

–

and

–

Multiply

–

Multiply

–

Subtract 12 from both sides of the equation

The slope is

–

and the

-intercept

–

Write the equation of the line in slope-intercept form.

–

Looking for more? Try these:

Lesson: Slope-intercept form

Lesson: Slope

$Confetti$

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Z.2Find the slope from two points

AA.8Write a linear equation from a slope and a point

Lesson: Slope-intercept form

Lesson: Slope

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