Linear Equations Review

Slope-Intercept

100

(0, –6); m=5

y=5x-6

200

(1, 9) (0, 4)

y=5x+4

300

(2, 3) (4, -7)

y=-5x+13

400

(3, 8) (6, 4)

y=-3/4x+17/2

Standard Form

100

y=5x+2

5x-y=-2

200

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

5x+15y=6

300

y-9=2(x-3)

2x-y=-3

400

y=(-3/2)x-1

3x+2y=-2

Point-Slope

100

m=4; (3, 8)

y-8=4(x-3)

200

m=-2/3; (-6, 10)

y-10=-2/3(x+6)

300

(1, 3) (4, 7)

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

400

y=9x-10

Plug in a value for x, solve for y, then use y-y1=m(x-x1)

Parallel/Perpendicular

100

y=(-1/3)x-2

y=(-1/3)x+34

Parallel

200

Perpendicular through (0,6): y=(2/5)x-4

y=(-5/2)x+6

300

Parallel to line through (7, 0) (2, -6)

y=(6/5)x+b

400

Perp to a line through y-9=2/3(x-6)

y=(-3/2)x+b