[Solved] MATH062N Week 6 Parallel and Perpendicular Lines

Q1

Use slopes to determine if the lines 7x+3y=1 and −3x−7y=−7 are perpendicular.

Ans:

perpendicular

not perpendicular

Q2

Use slopes and y-intercepts to determine if the lines x=2 and x=2 are parallel.

Ans:

parallel

not parallel

Q3

Use slopes and y-intercepts to determine if the lines y=x/2+5 and x−2y=3 are parallel.

Ans:

parallel

not parallel

Q4

Use slopes to determine if the lines −7x+3y=2 and −3x+7y=1 are perpendicular.

Ans:

perpendicular

not perpendicular

Q5

Use slopes and y-intercepts to determine if the lines y=4 and y=6 are parallel.

Ans:

parallel

not parallel

Q6

Use slopes and y-intercepts to determine if the lines −3x−3y=1 and −3x−4y=5 are parallel.

Ans:

parallel

not parallel

Q8

Use slopes and y-intercepts to determine if the lines y=−x/2+1/4 and 3x−4y=−1 are parallel.

Ans:

parallel

not parallel

Q9

Use slopes and y-intercepts to determine if the lines −4x−8y=−2 and 2x+4y=2 are parallel.

Ans:

parallel

not parallel

Q10

Use slopes and y-intercepts to determine if the lines x=−7 and x=5 are parallel.

Ans:

parallel

not parallel

Q11

Use slopes to determine if the lines y=3x/4+3 and 8x+6y=−5 are perpendicular.

Ans

perpendicular

not perpendicular

Q12

Use slopes to determine if the lines y=−3x/4+2 and 8x−8y=−5 are perpendicular.

Ans:

perpendicular

not perpendicular

Q13

Use slopes to determine if the lines 6x+9y=2 and 9x+6y=−3 are perpendicular.

Ans:

perpendicular

not perpendicular

Q14

Use slopes to determine if the lines y=1 and x=4 are perpendicular.

Ans:

perpendicular

not perpendicular

Q15

Use slopes to determine if the lines y=−x/3−9 and 6x−2y=−5 are perpendicular.

Ans:

perpendicular

not perpendicular

Q17

Use slopes to determine if the lines 5x+4y=1 and 4x+5y=3 are perpendicular.

Ans:

perpendicular

not perpendicular

Q18

Use slopes to determine if the lines −3x+5y=−2 and 2x+3y=8 are perpendicular.

Ans:

perpendicular

not perpendicular

Q19

Use slopes to determine if the lines y=x−1 and 2x+2y=1 are perpendicular.

Ans:

perpendicular

not perpendicular

 

Solution

Q1

Use slopes to determine if the lines 7x+3y=1 and −3x−7y=−7 are perpendicular.

Ans:

perpendicular

not perpendicular

Q2

Use slopes and y-intercepts to determine if the lines x=2 and x=2 are parallel.

Ans:

parallel

not parallel

Q3

Use slopes and y-intercepts to determine if the lines y=x/2+5 and x−2y=3 are parallel.

Ans:

parallel

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