Slope from two points
Are they parallel, perpendicular, or neither?
Find a line parallel to...
Find a line perpendicular to...
100

(20, 8), (9, 16)

-8/11
100

y=3x+5

y=3x-6

Parallel

100

y=3x+5

any equation with 3 as the slope! 

100

y=2x+5

anything with -1/2 as the slope

200

(12, 2), (−7, 5)

-3/19

200

y=3/4x-5

y=-4/3x+3

perpendicular 
200

y=2/3x+5 that passes through (-6,2)

y=2/3x+6

200

y=1/2x+5 that passes through (-1,7)

y=-2x+5

300

(3, −20), (5, 8)

28/2 = 14 

300

y=3x+5

y=4x-4

neither 

300

y=4x+7 that passes through (-1,-1)

y=4x+3

300

What are the two ways to show two lines are perpendicular? 

Their slopes multiply to -1. 

Their lines form 90 degree angles. 

400

(19, 3), (20, 3)

0/1 = zero

400

y=3x+5

y-3x=4

parallel

400

-3x+y=8 that passes through (1,8)

y=3x+5

400

y=3/4x+7 that passes through (-3,5)

y=-4/3x+1

500

(17, −13), (17, 8)

undefined

500

x + 2y = -6 

-2x + y = 2

perpendicular 

500

2y-3x=7 that passes through (4,8)

y=3/2x+2

500

2y-x=4 and passes through (-4,4)

y=-2x-4

M
e
n
u