The Lesson
We can find the equation of a line. The equation will be a linear equation.How to Find the Equation of a Line
Finding the equation of a line is easy.Question
What is the equation of the line shown below?Step-by-Step:
1
Find the y-intercept of the line.
Find where the line crosses the y-axis.
In our example, the y-intercept is 1.
2
Find the slope of the line.
In our example, the slope is 2.
Slope = How far up ÷ How far across
Slope = 4 ÷ 2
Slope = 2
y = slope x + y-intercept
3
Write y = x with space before the x:
4
Write the y-intercept from Step 1 (1) after the x.
Note: The y-intercept is + 1 because it is 1 above the x-axis. It would be −1 if it was 1 below the x-axis.
5
Write the slope from Step 2 (2) before the x.
Answer:
The equation of the line is y = 2x + 1.Slope-Intercept Form of the Equation of a Line
The slope-intercept form of an equation of a line is shown below:- m is the slope of the line.
- c is the y-intercept of the line.