IXL | Graph a line from an equation in point-slope form

Graph this line:

–

(

)

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.

ref_doc_title.

Learn with an example

question

Graph this line:

–

Click to select points on the graph.

key idea

The point-slope form of a line is

–

(

–

)

where

is the slope and

(

)

is a point on the line.

The slope formula is

change in

solution

Step 1: Make sure the equation uses subtraction like point-slope form does.

The right side of the equation does not use subtraction. Rewrite it with a subtraction sign.

–

Step 2: Find a point on the line and the slope.

Find the point

(

)

–

(

–

)

–

(

–

)

A point on the line is

(

–

)

Find the slope

–

(

–

)

–

is the same as

(

–

)

(

–

)

–

is the same as

(

–

)

The slope is 1.

Step 3: Use the point and the slope to graph.

Plot the point

(

–

)

The slope is 1, which is the same as

Move up 1 and right 1 to find another point on the line.

The graph is a straight line connecting

(

–

)

and

(

–

)

Looking for more? Try these:

Lesson: Point-slope form

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Z.5Graph a line using slope

Lesson: Point-slope form

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