IXL | Graph a line from an equation in standard form

Graph this line using intercepts:

–

Click to select points on the graph.

Coordinate plane graph with 4 quadrants, x-axis coordinates from -10 to 10, y-axis coordinates from -10 to 10.

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Learn with an example

question

Graph this line using intercepts:

–

Click to select points on the graph.

key idea

The

-intercept

is the

-coordinate

of the point where the graph crosses the

-axis.

The coordinates of the

-intercept

are

(

)

where

is the

-intercept.

The

-intercept

is the

-coordinate

of the point where the graph crosses the

-axis.

The coordinates of the

-intercept

are

(

)

where

is the

-intercept.

solution

Step 1: Find the

-intercept.

The

-intercept

is on the

-axis,

where

Plug

into the equation and solve for the

-intercept

–

(

)

Plug in

–

Plug in

Simplify

–

Simplify

The

-intercept

–

Its coordinates are

(

–

)

Step 2: Find the

-intercept.

The

-intercept

is on the

-axis,

where

Plug

into the equation and solve for the

-intercept

–

Plug in

–

Plug in

Simplify

–

Simplify

Divide both sides by 4

–

Divide both sides by 4

The

-intercept

–

Its coordinates are

(

–

)

Step 3: Use the intercepts to graph.

Plot the

-intercept

(

–

)

and the

-intercept

(

–

)

The graph is the straight line connecting them.

Looking for more? Try these:

Lesson: Standard form of linear equations

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Teacher tools

Work it out

Not feeling ready yet? These can help:

AA.4Graph a line from an equation in slope-intercept form

M.7Solve one-step equations

Lesson: Standard form of linear equations

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