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More Lessons for Geometry

Math Worksheets

In this lesson, we will learn how to find the equation of a line when given two points on the line. We will also learn how to determine the equation of a vertical line or a horizontal line given two points on the line.

To find the equation of a line when given two points on the line, we first find the slope and then find the*y*-intercept.
**Step 1:** Calculate the slope.

**How to use the slope formula to calculate the slope of a linear equation given two points.**
**How to find the equation of a line given two points on the line?**
### Equation of a Vertical Line

This video explains how to determine the equation of a vertical line given two points on the line.
### Equation of a Horizontal Line

This video explains how to determine the equation of a horizontal line given two points on the line.

More Lessons for Geometry

Math Worksheets

In this lesson, we will learn how to find the equation of a line when given two points on the line. We will also learn how to determine the equation of a vertical line or a horizontal line given two points on the line.

To find the equation of a line when given two points on the line, we first find the slope and then find the

The slope is the ratio of the change in the y-value over the change in the x-value. Given any two points on a line, you can calculate the slope of the line by using this formula:

*Example:*

Given two points, P = (0, –1) and Q = (4,1), on the line, find the equation of the line.

*Solution: *

*slope = * =

**Step 2:** Substitute *m* = , into the equation, *y = mx + b,* to get the equation

**Step 3: **Select one of the given points, for example (4, 1), and substitute the *x* and *y* values into the equation.

We, then, get that *b* = −1, which is the *y*-intercept.

**Step 4: **Subtitute *b* = −1 to get the equation.

*y* = *x* − 1

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