Parallel and perpendicular lines

Vocab

100

two lines having the same slope

Parallel lines

200

opposite reciprocal slopes

perpendicular lines

300

y=mx+b

slope intercept form

400

y-y₁=m(x-x₁)

point slope form

500

ax+by=c

standard form

Parallel equations

100

Write two equations with parallel slopes in slope intercept form using m=3

y=3x+2

y=3x-5

200

Write two equations with parallel slopes in point slope form using m=1/2

y-3=1/2(x+5)

y+1=1/2(x+4)

300

Write two equations with parallel slopes in slope intercept form using m=-8

y=-8x+7

y=-8x+2

400

Write two equations with parallel slopes in point slope form using m=-2/3

y-3=-2/3(x+5)

y+1=-2/3(x+4)

500

Write two equations with parallel slopes in standard form.

2x-5y=54

2x-5y=-7

Perpendicular equations

100

Write two equations with perpendicular slopes in slope intercept form using m=-7

y=-7x+2

y=1/7x+3

200

Write two equations with perpendicular slopes in point slope form using m=5

y-5=5(x-1)

y+1=-1/5(x+2)

300

Write two equations with perpendicular slopes in slope intercept form using m=4/3

y=4/3x-8

y=-3/4x+3

400

Write two equations with perpendicular slopes in point slope form using m=-1/4

y-3=-1/4(x+3)

y+4=4(x-2)

500

Write two equations with perpendicular slopes in standard form using

-3x+5y=12

3x+5y=23

Parallel, perpendicular, neither

100

y=2x+7

y=-2x+9

Neither

200

y=7x+1

y=-1/7x+1

Perpendicular

300

y-8=4(x-2)

y-1=4(x+3)

Parallel

400

y-9=2(x-4)

y+5=1/2(x+2)

neither

500

5x+6y=18

5x+6y=24

parallel

Slope

100

Find the slope from the equation

y-6=3/2(x+7)

m=3/2

200

Calculate the slope from the two points

(-2,1)(4-7)

-8/6 or -4/3

300

These slopes are....

m=1/3

m=-3

perpendicluar

400

write the slope and the point used to crate this equation

y-8=1/3(x+5)

m=1/3

(-5,8)

500

Calculate the slope AND write the equation in point slope form

(4,3)(-6,9)

m=6/-10 or -3/5

y-3=-3/5(x-4) or y-9=-3/5(x+6)