Unit 4 review- Writing Linear Equations

Formulas

100

Order pair: (__, __)

(x, y)

200

What is the formula for Slope?

m=(y2-y1)/(x₂-x₁)

300

What is the formula for slope-intercept form?

y=mx+b

400

What is the formula for Standard form?

ax+by=c

500

What is the formula for point-slope?

y-y₁=m(x-x₁)

Given Slope and y-int.

100

m = 3 

b = -4

y=3x-4

200

m= 2

b=-1

y=2x-1

300

m=1/4

b=7

y=1/4x+7

400

m=-2/5

b=0

y=-2/5x

500

m=0

b=6

y=6

Given Standard form

100

Write the following in slope-intercept form

4x+3y=12

y=-4/3x+4

200

Write the following in slope-intercept form

x-y=0

y=x

300

Write the following in slope-intercept form

4x-y=3

y=4x-3

400

Write the following in slope-intercept form

5x-2y=8

y=5/2x-4

500

Write the following in slope-intercept form

4x+8y=32

y=-1/2x+4

Given Slope and a point

100

m= -2;  (3, 1)

y=-2x+7

200

m=-1;   (-2, -3)

y=-x-5

300

m=-1/4; (8, 9)

y=-1/4x+11

400

m=-1/2; (8, -1)

y=-1/2x+3

500

m=-1/4, (-5, 4)

y=-1/4x+11/4

Given 2 points

100

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

y=2x-1

200

(1, -8) and (-2, 7)

y=-5x-3

300

(-4, 5) and (8, 8)

y=1/4x+6

400

(3, -1) and (-12, 9)

y=-2/3x+1

500

(4, -4) and (-8, 5)

y=-3/4x-1