IXL - Equations of lines (Geometry practice)

A line has a slope of

–

and passes through the point

(

–

)

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

Write the equation of this line 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

The

slope,

measures the line's steepness and direction. You can use this formula to find the slope of a line.

rise

run

change in

The

-intercept

is the value of

where the line crosses the

-axis.

solution

First, find the

-intercept

of the line. Since the line crosses the

-axis

(

)

the

-intercept

Next, find the slope. One point on the line is

(

)

Pick another point on the line, like

(

)

To get from

(

)

(

)

move down 2 units and right 1 unit.

Since the change in

–

and the change in

is 1, the slope of the line is

–

which simplifies to

–

Finally, write the equation of the line in slope-intercept form.

–

Looking for more? Try these:

Lesson: Slope-intercept form

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Work it out

Not feeling ready yet? These can help:

L.6Slope-intercept form: write an equation

L.5Slope-intercept form: write an equation from a graph

Lesson: Slope-intercept form

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