Point Slope/Parallel and Perpendicular

Point Slope Equation

100

Point (7,2) Slope 3

y-2=3(x-7)

200

Point (3,2) Slope 2

y-2=2(x-3)

300

Point (-15,-8) Slope 2

y+8=2(x+15)

400

Point (3,30) Slope -4

y-30=-4(x-3)

500

Point (-11,-4) Slope -1

y+4=-(x+11)

Parallel/Perpendicular

100

Write an equation parallel to y=2x-4

y = 2x + or - any constant

200

Write an equation perpendicular to y=6x+4

y=-1/6x = or - any constant

300

Are these two equations parallel or perpendicular

y=1/2x - 4 and y = 5/10x +9

Parallel

400

Which value of k will make these two equations perpendicular?

y = 1/5x - 4 and y = kx -9

k=-5

500

Write an equation in slope intercept form that is perpendicular to y=2x + 1 and goes through (2,3)

y=-1/2x + 4

Find the Point

100

y+5=4(x-8)

(8,-5)

200

y-8=1/2(x+4)

(-4,8)

300

y-4=4(x-1)

(1,4)

400

y-7=(x-12)

(12,7)

500

y+6=3(x-4)

(4,-6)

Find the Slope

100

Find the slope between (1,2) and 4,6)

4/3

200

y-8=4(x-8)

4

300

Find the slope between (0,4) and (-12,5)

-1/12

400

y+6=3(x-4)

3

500

Find the slope between (234,10) and (-100, 9)

1/134

What Fits/Systems

100

y-2=3(x+8)

a)Slope =3 Point = (-8,2)

b) Slope=2 Point = (3,-8)

A

200

y-2=3(x-3)

A)Slope =3 Point = (2,3)

B) Slope = 3 Point = (3,2)

B

300

(8,4) is a solution to:

A) x-2y=0 and 2x-5y=-4

B) y=8-x and 4x-3y=-3

A

400

What is the solution to this system of equations

-3x-y=-13

x+2y=6

(4,1)

500

Solve the system of equations:

-1/2x-y=-3

x+3y=6

(6,0)