Parallel and Perpendicular Functions

Solving for Parallel

100

Is y=(4/9)x + 98 parallel to y=-(4/9) + 98?

No, because the slopes are not the same.

200

Is y=-3/4x parallel to y=-3/4x-100000?

Yes, because the slopes are equal

300

Given line y=6x+5, find the line parallel that goes through (6,-4).

y=6x-40

400

Find the line parallel to y=(1/2)x - 4 that goes through the point (4,8).

y=(1/2)x+6

500

Find the line parallel to y=(9/8)x + 78 that goes through the point (8,5).

y=(9/8)x - 4

Solving for Perpendicular

100

Is y = -(9/8)x + 9 perpendicular to y = (8/9)x + 5?

Yes, the slope is the negative reciprocal.

200

Is y=(5/7)x + 14 perpendicular to y=(7/5)x - 10?

No, the slope is reciprocal but not negative.

300

Given line y=5x+3, find the line perpendicular which passes through (-15,15).

y=-(1/5) + 12

400

Given the line y=(7/9)x + 4, find the line perpendicular which passes through (3,7).

y=-(9/7)x + 10.

500

Given y=(8/72)x + 77, find the line perpendicular which passes through (0,1539). *(HINT: Simplify everything)*

y=-9x +1539

Solving for Both

100

Are the lines y=(18/59)x + 157 and                        y=-(59/18)x + 157 parallel, perpendicular, or neither?

Perpendicular, slopes are negative reciprocals. 

200

Are y=5x+9 and y=1/5x +7 parallel, perpendicular, or neither?

Neither, slopes are not the same, and not negative reciprocals.

300

Find the line parallel to y=17x+14 that passes through (1,17).

y=17x

400

Find the line parallel to y=14x-9 which passes through (4,5).

y=14x-51

500

Find the line perpendicular to y=(21/7)x - (56/134) which passes through (7, (14/3)).

y=-(1/3) +7