Graphing Lines by Slope-Intercept Method

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Videos, worksheets, examples, and solutions to help Grade 7 students learn how to graph lines using the slope-intercept method.

Summary of Graphing Lines
1. Plotting points by making a table of ordered pairs always works, but can be time-consuming.
2. Finding the x-intercept and y-intercept doesn't work if it goes through the origin.
3. Slope-intercept method works unless it is a vertical line (x = k).

How to graph lines using the Slope-Intercept Method?
1. Solve the equation for y to put in the form y = mx + b.
2. Identify slope and the y-intercept.
3. Plot the y-intercept.
4. Use slope to find more points.
5. Check a point.

The following diagrams show how to graph a line using the slope-intercept method. Scroll down the page for more examples and solutions.

Slope-intercept form of a line, and how to identify the slope and y-intercept from an equation
Examples:
Graph
a) y = 3x - 1
b) 2x + 5y = 10
c) 4x - 5y = 15
How to graph a line using the slope-intercept method? Given the equation y = mx + b
1. Plot the point (0,b)
2. Use slope to find more points.
Examples:
a) Graph y = 2x - 3
b) Graph y = -2/3 x + 1
c) Graph y = -4x
d) Graph y = -2 Graphing Lines using the slope intercept method
Examples:
a) Graph 2x - 3y = 6
b) Graph 5x - 3y = 9
c) Graph x = -1
Since there is no y-term, we can't put the equation in slope-intercept form and we can't use the slope-intercept method.
Any line in the form x = k is a vertical line with x-intercept k.
d) Graph y = 1
This is a summary of the 3 methods for graphing lines: plotting points, x-intercept and y-intercept, slope intercept method.
Examples:
Graph
a) y = 3x - 1
b) 2x + 5y = 10
c) 4x - 5y = 15

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