(2-4) Linear Equations

Write in Slope-Intercept Form

100

m=2, (2,1)

y = 2x - 3

200

m=-1, (2,0)

y = -x + 2

300

m=0, (-2,3)

y = 3

400

m=-3/4, (-3,5)

y = 3/4x + 29/4

500

m=5/9, (10,4)

y = 5/9x - 14/9

Write in Slope Intercept From (2 points)

100

(-2,3) and (2,9)

y = 3/2x + 6

200

(0,7) and (3,5)

y = -2/3x + 7

300

(-2,-3) and (2, -1)

y = 1/2x - 2

400

(-5,-2) and (-3,8)

y = 5x + 23

500

(-12,20) and (-21,29)

y = -x + 8

Write in Standard Form

100

y = 3/2x - 1/2

3x - 2y = 1

200

y = -3/2x - 1/4

6x + 4y = -1

300

y = 4.2x + 1.8

21x - 5y = -9

400

y = -4/5x + 5

4x + 5y = 25

500

y = -4/3x + 9

4x + 3y = 27

Find the Intercepts

100

x + 3y = -4

(-4,0) and (0,-4/3)

200

-5x - 2y= -6

(0,3) and (6/5,0)

300

3x+5y=12

(0,2.4) and (4,0)

400

2x - 3/2y = -3

(0,2) and (-1.5,0)

500

-x + 2y = -4

(0,-2) and (4,0)

Parallel and Perpendicular Lines

100

through (7,1) and perpendicular to y = -x + 3

y = x - 6

200

through (2,9) and parallel to y = 3x - 2

y = 3x + 3

300

through (3,1) and perpendicular to -4x + y  - 1 = 0

y = -1/4x + 7/4

400

through (-6,2) and perpendicular to x = -2

y = 2

500

through (-2,1) and perpendicular to 3x + y = 1

y = 1/3x + 5/3