Parallel and perpendicular lines: compare slopes, and write the line through a point
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
Ren compares the lines 4x + 3y = 6 and 8x + 6y = 5. Are the lines parallel, perpendicular or neither?
- Neither
- Parallel
- Perpendicular
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.
- Perpendicular
- Parallel
- Neither
Zee compares the lines y = -x/4 + 2 and y = 4x − 9. Are the lines parallel, perpendicular or neither?
Use the picture in question 1.
- Parallel
- Neither, since the slopes are not equal
- Perpendicular
Input–output table (x | y) for y = 6x − 4, with the step marked. Pia wants a line perpendicular to y = 6x − 4. What is the slope of the new line?
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?
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?
The parallel line has the same step as y = -3x + 6. Luz's line passes through (2, -1) and is parallel to y = -3x + 6. What is its rule in y = mx + b form?
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?
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?
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?