Equation of a Line Worksheets

Printable “Linear Equations” worksheets:
Linear Equations & Coordinate Plane
Slope of a Line (from 2 points)
Slope of a Line (from equation)
Graph Equation using Intercepts
Find the Equation of a Line from a Graph
Find the Equation of a Line from 2 Points
Constant Rate & Linear Equations

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 learn how to write the equation of a straight line on the coordinate plane.

How to find the equation of a straight line on a graph?

To find the equation of a straight line on the coordinate plane, follow these steps, depending on the information you have (e.g., slope, points, or intercepts).

1. Given the Slope and Y-Intercept: Use Slope-Intercept Form
   The slope-intercept form is:
   𝑦 = 𝑚𝑥 + 𝑏
   𝑚 is the slope (how steep the line is).
   𝑏 is the y-intercept (the point where the line crosses the y-axis, i.e., when 𝑥 = 0).

2. Given the Slope and a Point on the Line: Use Point-Slope Form
   The point-slope form is:
   (𝑦 − 𝑦1) = 𝑚(𝑥 − 𝑥1)
   𝑚 m is the slope of the line.
   (𝑥1, 𝑦1) is a point on the line.
   

3. Given Two Points on the Line: Find the Slope, then Use Point-Slope Form
   If you have two points (𝑥1, 𝑦1) and (𝑥2, 𝑦2)
   Find the slope using the formula:
   𝑚 = (𝑦2 − 𝑦1)/(𝑥2 − 𝑥1)
   Use the slope 𝑚 and one of the points in the point-slope form
   (𝑦 − 𝑦1) = 𝑚(𝑥 − 𝑥1)
   

The following diagram shows how to write an equation in slope-intercept form from the line.

Have a look at this video if you need to review how to find the equation of a line from a graph.

• How To Find The Equation of a Line From a Graph

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Equation of a Line Worksheets.

 

More Equation of a Line Worksheets

Printable
(Answers on the second page.)
Equation of a Line Worksheet #1
Equation of a Line Worksheet #2
Equation of a Line Worksheet #3
Equation of a Line Worksheet #4
Equation of a Line Worksheet #5
Equation of a Line Worksheet #6
Equation of a Line Worksheet #7

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