NumicornNumicornLearn, solve, progress

Graphing Linear Functions Practice Tests

These Grade 8 Math practice tests cover graphing linear functions from equations, tables, points, slope, intercepts, and real-world situations.

Skills covered

  • Graphing lines from tables, points, equations, slope, and intercepts
  • Identifying x-intercepts, y-intercepts, horizontal lines, vertical lines, and the x-axis
  • Using \(y=mx+b\) to connect slope and y-intercept with a graph
  • Interpreting increasing, decreasing, parallel, and translated linear graphs
  • Modeling cost, distance, savings, population, balances, and other real-world relationships

How to use these practice tests

Start with the slope and y-intercept, plot the intercept, and use the rate of change to find additional points. For tables and contexts, verify that the same linear rule works for every given value.

For more Grade 8 Math practice, return to the Grade 8 Math category.

Select a test

5 Tests
1. Test2. Test3. Test4. Test5. Test

2. Test

Grade 8 Graphing Linear Functions Practice Tests

Practice Grade 8 Math questions about graphing linear functions, tables, points, intercepts, slope-intercept form, transformations, and real-world models.

Choose the best answer for each question. Use the equation, table, point, intercept, and graph information together to check your answer.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

A table has x-values −1,0,1-1,0,1 and y-values 1,3,51,3,5. What is the slope?

Please select an answer first.

Correct answer: A

The correct answer is 22.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: Each increase of 1 in x increases y by 2, so the slope is 22.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Each increase of 1 in x increases y by 2, so the slope is 22.

2. QuestionMultiple choice

What is the value of y=2x−1y=2x-1 when x=4x=4?

Please select an answer first.

Correct answer: B

The correct answer is 77.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: Substitute x=4x=4: y=2(4)−1=7y=2(4)-1=7.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Substitute x=4x=4: y=2(4)−1=7y=2(4)-1=7.

3. QuestionMultiple choice

What is the equation of the line through (0,−3)(0,-3) and (2,1)(2,1)?

Please select an answer first.

Correct answer: C

The correct answer is y=2x−3y=2x-3.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: The slope is frac1−(−3)2−0=2\\frac{1-(-3)}{2-0}=2 and the y-intercept is -3, giving y=2x−3y=2x-3.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The slope is frac1−(−3)2−0=2\\frac{1-(-3)}{2-0}=2 and the y-intercept is -3, giving y=2x−3y=2x-3.

4. QuestionMultiple choice

What is the slope through (1,4)(1,4) and (2,7)(2,7)?

Please select an answer first.

Correct answer: D

The correct answer is 33.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: Use m=frac7−42−1=frac31=3m=\\frac{7-4}{2-1}=\\frac{3}{1}=3.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Use m=frac7−42−1=frac31=3m=\\frac{7-4}{2-1}=\\frac{3}{1}=3.

5. QuestionMultiple choice

What is the x-intercept of y=−3x+9y=-3x+9?

Please select an answer first.

Correct answer: A

The correct answer is (3,0)(3,0).

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: Set y=0y=0: 0=−3x+90=-3x+9, so x=3x=3.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Set y=0y=0: 0=−3x+90=-3x+9, so x=3x=3.

6. QuestionMultiple choice

What is the y-intercept of y=0.5x+6y=0.5x+6?

Please select an answer first.

Correct answer: B

The correct answer is (0,6)(0,6).

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: The constant term is 6, so the graph crosses the y-axis at (0,6)(0,6).
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The constant term is 6, so the graph crosses the y-axis at (0,6)(0,6).

7. QuestionMultiple choice

A table has x-values 0,1,20,1,2 and y-values 10,8,610,8,6. Which equation represents it?

Please select an answer first.

Correct answer: C

The correct answer is y=−2x+10y=-2x+10.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: The slope is -2 and the y-intercept is 10, so the equation is y=−2x+10y=-2x+10.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The slope is -2 and the y-intercept is 10, so the equation is y=−2x+10y=-2x+10.

8. QuestionMultiple choice

Which description matches the graph of y=5y=5?

Please select an answer first.

Correct answer: D

The correct answer is A horizontal line at y=5.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: The y-value is constant at 5 for every x-value, so the graph is horizontal.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The y-value is constant at 5 for every x-value, so the graph is horizontal.

9. QuestionMultiple choice

Which point lies on y=3xy=3x?

Please select an answer first.

Correct answer: A

The correct answer is (2,6)(2,6).

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: When x=2x=2, y=3(2)=6y=3(2)=6, so (2,6)(2,6) lies on the graph.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

When x=2x=2, y=3(2)=6y=3(2)=6, so (2,6)(2,6) lies on the graph.

10. QuestionMultiple choice

Which table represents the proportional relationship y=4xy=4x?

Please select an answer first.

Correct answer: B

The correct answer is x: 1, 2, 3; y: 4, 8, 12.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: Each y-value is 4 times its x-value and the relationship passes through the origin.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Each y-value is 4 times its x-value and the relationship passes through the origin.

Previous testNext test