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.

3. 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

What is the slope of y=4x−1y=4x-1?

Please select an answer first.

Correct answer: A

The correct answer is 44.

  1. Identify the graph information: Read the relevant points, intercepts, slope, table values, or equation from the problem.
  2. Write or interpret the function: In y=mx+by=mx+b, the coefficient of x is the slope, so m=4m=4.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

In y=mx+by=mx+b, the coefficient of x is the slope, so m=4m=4.

2. QuestionMultiple choice

What is the y-intercept of y=−frac13x+5y=-\\frac{1}{3}x+5?

Please select an answer first.

Correct answer: B

The correct answer is 55.

  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 in slope-intercept form is the y-intercept, so b=5b=5.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The constant term in slope-intercept form is the y-intercept, so b=5b=5.

3. QuestionMultiple choice

Which equation has slope 2 and passes through (0,−4)(0,-4)?

Please select an answer first.

Correct answer: C

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: The point with x=0x=0 gives the y-intercept -4; with slope 2, the equation is y=2x−4y=2x-4.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The point with x=0x=0 gives the y-intercept -4; with slope 2, the equation is y=2x−4y=2x-4.

4. QuestionMultiple choice

A line crosses the y-axis at 3 and the x-axis at -3. Which equation represents it?

Please select an answer first.

Correct answer: D

The correct answer is y=x+3y=x+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 line has intercepts (0,3)(0,3) and (−3,0)(-3,0), giving slope 1 and equation y=x+3y=x+3.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

The line has intercepts (0,3)(0,3) and (−3,0)(-3,0), giving slope 1 and equation y=x+3y=x+3.

5. QuestionMultiple choice

Which line is parallel to y=5x+2y=5x+2?

Please select an answer first.

Correct answer: A

The correct answer is y=5x−7y=5x-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: Parallel lines have the same slope and different y-intercepts. The slope is 5 in y=5x−7y=5x-7.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Parallel lines have the same slope and different y-intercepts. The slope is 5 in y=5x−7y=5x-7.

6. QuestionMultiple choice

Which equation has the same y-intercept as y=−2x+5y=-2x+5?

Please select an answer first.

Correct answer: B

The correct answer is y=3x+5y=3x+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: Both equations have constant term 5, so both cross the y-axis at (0,5)(0,5).
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Both equations have constant term 5, so both cross the y-axis at (0,5)(0,5).

7. QuestionMultiple choice

Which equation represents a horizontal line at y=−4y=-4?

Please select an answer first.

Correct answer: C

The correct answer is y=−4y=-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 horizontal line has a constant y-value, so its equation is y=−4y=-4.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

A horizontal line has a constant y-value, so its equation is y=−4y=-4.

8. QuestionMultiple choice

Which equation has slope -3 and y-intercept 0?

Please select an answer first.

Correct answer: D

The correct answer is y=−3xy=-3x.

  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 m=−3m=-3 and b=0b=0 into y=mx+by=mx+b.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Substitute m=−3m=-3 and b=0b=0 into y=mx+by=mx+b.

9. QuestionMultiple choice

What is the x-intercept of y=frac12x+2y=\\frac{1}{2}x+2?

Please select an answer first.

Correct answer: A

The correct answer is (−4,0)(-4,0).

  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=frac12x+20=\\frac{1}{2}x+2, so x=−4x=-4.
  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=frac12x+20=\\frac{1}{2}x+2, so x=−4x=-4.

10. QuestionMultiple choice

Which equation has slope 3 and y-intercept -1?

Please select an answer first.

Correct answer: B

The correct answer is y=3x−1y=3x-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: Use y=mx+by=mx+b with m=3m=3 and b=−1b=-1.
  3. Check the graph: Confirm that the point, direction, intercept, and rate of change agree with the equation or context.

Use y=mx+by=mx+b with m=3m=3 and b=−1b=-1.