Parallel and perpendicular lines: compare slopes, and write the line through a point

Grade 9 Math Worksheet

NameDate

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

  1. Esme compares the lines y = 5x + 6 and y = 5x − 8. Are the lines parallel, perpendicular or neither?

    • Parallel
    • Perpendicular
    • Neither
  2. Ren compares the lines 4x + 3y = 6 and 8x + 6y = 5. Are the lines parallel, perpendicular or neither?

    Use the picture in question 1.

    • Parallel
    • Neither
    • Perpendicular
  3. Kira compares the lines y = 3x/2 + 1 and y = -2x/3 + 4. Are the lines parallel, perpendicular or neither?

    Use the picture in question 1.

    • Parallel
    • Perpendicular
    • Neither
  4. Input–output table (x | y) for y = -3x/4 + 2, with the step marked. Milo wants a line perpendicular to y = -3x/4 + 2. What is the slope of the new line?

  5. Input–output table (x | y) for y = 5x/2 − 1, with the step marked. Bo wants a line perpendicular to y = 5x/2 − 1. What is the slope of the new line?

  6. Input–output table (x | y) for 3x + 2y = 12, with the step marked. Jun wants a line perpendicular to 3x + 2y = 12. What is the slope of the new line?

  7. The parallel line has the same step as y = 3x − 9. Tala's line passes through (3, 7) and is parallel to y = 3x − 9. What is its rule in y = mx + b form?

  8. The parallel line has the same step as y = x/2 + 3. Ari's line passes through (4, 7) and is parallel to y = x/2 + 3. What is its rule in y = mx + b form?

  9. The parallel line has the same step as y = 4x + 13. Noah's line passes through (-2, 3) and is parallel to y = 4x + 13. What is its rule in y = mx + b form?

  10. The parallel line has the same step as y = 2x/3 + 1. Esme's line passes through (6, -2) and is parallel to y = 2x/3 + 1. What is its rule in y = mx + b form?

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Parallel and perpendicular lines: compare slopes, and write the line through a point

Answer Key - Grade 9 Math Worksheet

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

  1. Esme compares the lines y = 5x + 6 and y = 5x − 8. Are the lines parallel, perpendicular or neither?

    • Parallel
    • Perpendicular
    • Neither
  2. Ren compares the lines 4x + 3y = 6 and 8x + 6y = 5. Are the lines parallel, perpendicular or neither?

    Use the picture in question 1.

    • Parallel
    • Neither
    • Perpendicular
  3. Kira compares the lines y = 3x/2 + 1 and y = -2x/3 + 4. Are the lines parallel, perpendicular or neither?

    Use the picture in question 1.

    • Parallel
    • Perpendicular
    • Neither
  4. Input–output table (x | y) for y = -3x/4 + 2, with the step marked. Milo wants a line perpendicular to y = -3x/4 + 2. What is the slope of the new line?

    4/3
  5. Input–output table (x | y) for y = 5x/2 − 1, with the step marked. Bo wants a line perpendicular to y = 5x/2 − 1. What is the slope of the new line?

    -2/5
  6. Input–output table (x | y) for 3x + 2y = 12, with the step marked. Jun wants a line perpendicular to 3x + 2y = 12. What is the slope of the new line?

    2/3
  7. The parallel line has the same step as y = 3x − 9. Tala's line passes through (3, 7) and is parallel to y = 3x − 9. What is its rule in y = mx + b form?

    y = 3x − 2
  8. The parallel line has the same step as y = x/2 + 3. Ari's line passes through (4, 7) and is parallel to y = x/2 + 3. What is its rule in y = mx + b form?

    y = x/2 + 5
  9. The parallel line has the same step as y = 4x + 13. Noah's line passes through (-2, 3) and is parallel to y = 4x + 13. What is its rule in y = mx + b form?

    y = 4x + 11
  10. The parallel line has the same step as y = 2x/3 + 1. Esme's line passes through (6, -2) and is parallel to y = 2x/3 + 1. What is its rule in y = mx + b form?

    y = 2x/3 − 6