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More Lessons for Grade 7 Math

Math Worksheets

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

More Lessons for Grade 7 Math

Math Worksheets

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

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).

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.

Examples:

Graph

a) y = 3x - 1

b) 2x + 5y = 10

c) 4x - 5y = 15

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

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

Examples:

Graph

a) y = 3x - 1

b) 2x + 5y = 10

c) 4x - 5y = 15

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