# Graph of a Linear Equation - Horizontal and Vertical Lines

Related Topics:
Lesson Plans and Worksheets for Grade 8
Lesson Plans and Worksheets for all Grades

Example, videos and solutions to help Grade 8 students learn how to predict the shape of a graph of a linear equation by finding and plotting solutions on a coordinate plane.

### New York State Common Core Math Grade 8, Module 4, Lesson 14

Common Core Math Grade 8, Module 4, Lesson 14 Worksheets (pdf)

### Lesson 14 Outcome

• Students graph linear equations in standard form, ax + by = c(a or b = 0), that produce a horizontal or a vertical line.

### Lesson 14 Summary

• A linear equation in standard form, ax + by = c, where a = 1 and b = 0 is the graph of the equation x = c. The graph of x = c is the vertical line passing through the point (c, 0).
• A linear equation in standard form, ax + by = c where a = 0 and b = 1 is the graph of the equation y = c. The graph of is the horizontal line passing through the point (0, c).

Exercises 1 - 12

1. Find at least solutions to graph the linear equation 1x + 2y = 5.
2. Find at least solutions to graph the linear equation 1x + 0y = 5.
3. What was different about the equations in Exercises 1 and 2? What effect did this change have on the graph?

4. Graph the linear equation x = -2.
5. Graph the linear equation x = 3.
6. What will the graph of x = 0 look like?

7. Find at least 4 solutions to graph the linear equation 2x + 1y = 2.
8. Find at least solutions to graph the linear equation 0x + 1y = 2.
9. What was different about the equations in Exercises 7 and 8? What effect did this change have on the graph?

10. Graph the linear equation y = -2.
11. Graph the linear equation y = 3.
12. What will the graph of y = 0 look like?

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.