Find the intercepts and graph a line from any form, including horizontal and vertical lines

Grade 9 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. The line is 4x + 3y = 24. In math club, Zee studies 4x + 3y = 24. What is its y-intercept?

  2. The line is 3x − 4y = 24. In math club, Bo studies 3x − 4y = 24. What is its y-intercept?

  3. The line is 4x − 3y = 36. In math club, Pia studies 4x − 3y = 36. What is its y-intercept?

  4. Read this first

    Input–output table

    xy
    50
    52
    55
  5. Jun graphs the line x = 5. Which statement about the line is true?

    • Its slope is 5
    • It is horizontal, and its slope is 0, like a flat road
    • It is vertical, and its slope is not defined
  6. Tala graphs the line y = 4. Which statement about the line is true?

    • It is vertical, and its slope is not defined
    • It is horizontal, and its slope is 0
    • Its slope is 4
  7. Luz graphs the line x = -3. Which statement about the line is true?

    • Its slope is -3
    • It is horizontal, and its slope is 0
    • It is vertical, and its slope is not defined
  8. Ari's line passes through (2, 5) and (7, 5). What is the equation of the line?

  9. Input–output table (x | y). Put each row into 3x − 2y = 6 to check it. Ren wants three points on the line 3x − 2y = 6. Which table of values (x | y) shows points on the line?

    • 0 | -3; 6 | 6; 12 | 15
    • 0 | 2; 6 | 6; 12 | 10
    • 0 | 3; 6 | -6; 12 | -15
  10. Input–output table (x | y). Put each row into 2x + 3y = 24 to check it. Kira wants three points on the line 2x + 3y = 24. Which table of values (x | y) shows points on the line?

    • 0 | 8; 6 | 4; 12 | 0
    • 0 | -8; 6 | -4; 12 | 0
    • 0 | 12; 6 | 3; 12 | -6
  11. Input–output table (x | y). Put each row into 3x − 2y = 30 to check it. Zee wants three points on the line 3x − 2y = 30. Which table of values (x | y) shows points on the line?

    • 0 | -15; 6 | -6; 12 | 3
    • 0 | 15; 6 | 6; 12 | -3
    • 0 | 10; 6 | 14; 12 | 18
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Find the intercepts and graph a line from any form, including horizontal and vertical lines

Answer Key - Grade 9 Math Worksheet

Circle the best answer, or write your answer on the line.

  1. The line is 4x + 3y = 24. In math club, Zee studies 4x + 3y = 24. What is its y-intercept?

    8
  2. The line is 3x − 4y = 24. In math club, Bo studies 3x − 4y = 24. What is its y-intercept?

    -6
  3. The line is 4x − 3y = 36. In math club, Pia studies 4x − 3y = 36. What is its y-intercept?

    -12
  4. Read this first

    Input–output table

    xy
    50
    52
    55
  5. Jun graphs the line x = 5. Which statement about the line is true?

    • Its slope is 5
    • It is horizontal, and its slope is 0, like a flat road
    • It is vertical, and its slope is not defined
  6. Tala graphs the line y = 4. Which statement about the line is true?

    • It is vertical, and its slope is not defined
    • It is horizontal, and its slope is 0
    • Its slope is 4
  7. Luz graphs the line x = -3. Which statement about the line is true?

    • Its slope is -3
    • It is horizontal, and its slope is 0
    • It is vertical, and its slope is not defined
  8. Ari's line passes through (2, 5) and (7, 5). What is the equation of the line?

    y = 5
  9. Input–output table (x | y). Put each row into 3x − 2y = 6 to check it. Ren wants three points on the line 3x − 2y = 6. Which table of values (x | y) shows points on the line?

    • 0 | -3; 6 | 6; 12 | 15
    • 0 | 2; 6 | 6; 12 | 10
    • 0 | 3; 6 | -6; 12 | -15
  10. Input–output table (x | y). Put each row into 2x + 3y = 24 to check it. Kira wants three points on the line 2x + 3y = 24. Which table of values (x | y) shows points on the line?

    • 0 | 8; 6 | 4; 12 | 0
    • 0 | -8; 6 | -4; 12 | 0
    • 0 | 12; 6 | 3; 12 | -6
  11. Input–output table (x | y). Put each row into 3x − 2y = 30 to check it. Zee wants three points on the line 3x − 2y = 30. Which table of values (x | y) shows points on the line?

    • 0 | -15; 6 | -6; 12 | 3
    • 0 | 15; 6 | 6; 12 | -3
    • 0 | 10; 6 | 14; 12 | 18