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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 line given two points or the slope and a point on the line.

To find the equation of a line given two points, you can use the point-slope form or the slope-intercept form.

**Point-Slope Form:**

- Find the slope (m): Use the formula:

m = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the two points. - Choose one of the points: Select one of the given points.
- Substitute into the point-slope form: Use the slope (m) and the chosen point (x1, y1) to write the equation in the form:

y - y1 = m(x - x1)

Example:

Given the points (2, 3) and (5, 9), find the equation of the line.

Find the slope: m = (9 - 3) / (5 - 2) = 2

Choose the point (2, 3)

Substitute into point-slope form: y - 3 = 2(x - 2)

Rewrite as slope-intercept form: y = 2x -1

**Slope-Intercept Form:**

- Find the slope (m): Use the formula as described above.
- Substitute a point and the slope into y = mx + b: This will give you an equation with one unknown, b.
- Solve for b: Solve the equation to find the y-intercept.
- Write the equation: Substitute the values of m and b into y = mx + b.

Example:

Using the same points as before, (2, 3) and (5, 9):

Find the slope: m = 2

Substitute one point and the slope: 3 = 2(2) + b

Solve for b: 3 = 4 + b, b = -1

Write the equation: y = 2x - 1

In conclusion:

- Both methods will give you the same equation.
- Choose the method that you find easier or that is more convenient based on the given information.
- Always check your answer by substituting the given points into the equation to make sure it satisfies the equation.

The following diagram shows how to write the equation of a line given two points.

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

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Equation of Line from 2 Points Worksheets**.

**Printable**

(Answers on the second page.)

Equation of Line from 2 Points Worksheet #1

Equation of Line from 2 Points Worksheet #2

Equation of Line from 2 Points Worksheet #3

Equation of Line from 2 Points Worksheet #4

Equation of Line from 2 Points Worksheet #5

Graphs of Linear Equation

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