Parallel and perpendicular lines: compare slopes, and write the line through a point
Grade 9 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.
The given line y = 2x − 8 has the step 2. Ren's line passes through (4, 1) and is perpendicular to y = 2x − 8. What is its rule in y = mx + b form?
The given line y = -3x/2 + 1 has the step -3/2. Kira's line passes through (3, -2) and is perpendicular to y = -3x/2 + 1. What is its rule in y = mx + b form?
The given line y = x/3 − 2 has the step 1/3. Zee's line passes through (2, 5) and is perpendicular to y = x/3 − 2. What is its rule in y = mx + b form?
The given line y = 4x/5 + 2 has the step 4/5. Milo's line passes through (-4, -1) and is perpendicular to y = 4x/5 + 2. What is its rule in y = mx + b form?
Read this first
Input–output tables
x y AB 1 2 3 8 CD 0 5 6 3 Bo's line AB goes through (1, 2) and (3, 8). Line CD goes through (0, 5) and (6, 3). Are AB and CD parallel, perpendicular or neither?
- Perpendicular
- Neither, since the slopes are not equal
- Parallel
Pia's line AB goes through (0, 1) and (4, 3). Line CD goes through (2, 7) and (3, 5). Are AB and CD parallel, perpendicular or neither?
- Parallel
- Perpendicular
- Neither
Jun's line AB goes through (1, 1) and (4, 7). Line CD goes through (0, 4) and (2, 8). Are AB and CD parallel, perpendicular or neither?
- Parallel
- Perpendicular
- Neither
Tala's line AB goes through (2, 5) and (6, 2). Line CD goes through (-1, 3) and (3, 0). Are AB and CD parallel, perpendicular or neither?
- Perpendicular
- Neither
- Parallel
The given line x = 4 is vertical. Luz's line passes through (2, 7) and is perpendicular to x = 4. What is the equation of the line?
The given line is 5x − 2y = 10. Kira's line passes through (2, -3) and is parallel to 5x − 2y = 10. What is its rule in y = mx + b form?