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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

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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