Grade 9 · Math · Algebra 1

9th grade Parallel and perpendicular lines: compare slopes, and write the line through a point worksheet

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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?
- Perpendicular
- Neither
- Parallel
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.
- Perpendicular
- Neither
- Parallel
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.
- Perpendicular
- Neither
- Parallel
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?
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?
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?

9th grade Parallel and perpendicular lines: compare slopes, and write the line through a point worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Parallel and perpendicular lines: compare slopes, and write the line through a point. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can tell whether two lines are parallel, perpendicular or neither from their slopes.
I can find the slope of a line perpendicular to a given line.
I can write the line through a point that is parallel or perpendicular to a given line.

Standard: G-GPE.B.5 (a CCSS Geometry standard)

Words to know

parallel lines: Lines with the same slope that never meet.

perpendicular lines: Lines that meet at a right angle. Their slopes multiply to -1.

negative reciprocal: Swap the two numbers of a slope and change its sign.

Common mistakes

Your child thought parallel lines have the same outputs.

Your child used the line's own starting number as the step.

Your child swapped the two numbers but kept the sign.

What to say

Ask: do parallel lines share the same step, or the same numbers?

Ask: where do you find the step of a line in its table?

Ask: if line A goes up to the right, which way does a perpendicular line go?

Questions parents ask

What is the most common mistake with parallel and perpendicular lines: compare slopes, and write the line through a point?

Your child thought parallel lines have the same outputs.

How can I help my child with parallel and perpendicular lines: compare slopes, and write the line through a point?

Ask: do parallel lines share the same step, or the same numbers?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More algebra 1

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