The LessonWe can find the equation of a line. The equation will be a linear equation.
How to Find the Equation of a LineFinding the equation of a line is easy.
QuestionWhat is the equation of the line shown below?
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
Write y = x with space before the x:
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.
Write the slope from Step 2 (2) before the x.
Answer:The equation of the line is y = 2x + 1.
Lesson SlidesThe slider below shows another real example of how to find the equation of a line.
Slope-Intercept Form of the Equation of a LineThe 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.