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

4. 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

Which equation represents a line that increases from left to right?

Please select an answer first.

Correct answer: A

The correct answer is y=2x−5y=2x-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: A line increases from left to right when its slope is positive; y=2x−5y=2x-5 has slope 2.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

A line increases from left to right when its slope is positive; y=2x−5y=2x-5 has slope 2.

2. QuestionMultiple choice

Which line has the greater positive slope?

Please select an answer first.

Correct answer: B

The correct answer is y=5x+1y=5x+1.

  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 positive slopes are 5, 2, and frac12\\frac{1}{2}; 5 is the greatest.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The positive slopes are 5, 2, and frac12\\frac{1}{2}; 5 is the greatest.

3. QuestionMultiple choice

Which equation represents a line that decreases from left to right?

Please select an answer first.

Correct answer: C

The correct answer is y=−2x+1y=-2x+1.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: A negative slope means the y-values decrease as x-values increase.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

A negative slope means the y-values decrease as x-values increase.

4. QuestionMultiple choice

Which line is parallel to y=4x−3y=4x-3 and different from it?

Please select an answer first.

Correct answer: D

The correct answer is y=4x+7y=4x+7.

  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 line has the same slope 4 but a different y-intercept, so it is parallel and distinct.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The line has the same slope 4 but a different y-intercept, so it is parallel and distinct.

5. QuestionMultiple choice

What is the equation of the x-axis?

Please select an answer first.

Correct answer: A

The correct answer is y=0y=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: Every point on the x-axis has y-coordinate 0.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Every point on the x-axis has y-coordinate 0.

6. QuestionMultiple choice

What is the equation of a vertical line through x=4?

Please select an answer first.

Correct answer: B

The correct answer is x=4x=4.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: A vertical line has a constant x-coordinate, so its equation is x=4x=4.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

A vertical line has a constant x-coordinate, so its equation is x=4x=4.

7. QuestionMultiple choice

A line passes through (0,2)(0,2) and (1,2)(1,2). Which equation represents it?

Please select an answer first.

Correct answer: C

The correct answer is y=2y=2.

  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 remains 2 while x changes, so the line is horizontal: y=2y=2.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The y-value remains 2 while x changes, so the line is horizontal: y=2y=2.

8. QuestionMultiple choice

What is the result of translating the graph of y=2x+1y=2x+1 up 3 units?

Please select an answer first.

Correct answer: D

The correct answer is y=2x+4y=2x+4.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: Adding 3 to every output changes the equation to y=2x+1+3=2x+4y=2x+1+3=2x+4.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Adding 3 to every output changes the equation to y=2x+1+3=2x+4y=2x+1+3=2x+4.

9. QuestionMultiple choice

A table has x-values 0,1,20,1,2 and y-values 10,6,210,6,2. What is the slope?

Please select an answer first.

Correct answer: A

The correct answer is −4-4.

  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 output decreases by 4 for each increase of 1 in x, so the slope is -4.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The output decreases by 4 for each increase of 1 in x, so the slope is -4.

10. QuestionMultiple choice

Which line has the greater positive slope?

Please select an answer first.

Correct answer: B

The correct answer is y=3x+2y=3x+2.

  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 positive slopes are 3 and 2; therefore y=3x+2y=3x+2 is steeper in the increasing direction.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The positive slopes are 3 and 2; therefore y=3x+2y=3x+2 is steeper in the increasing direction.

Previous testNext test