Standard and Point-Slope Form

Writing in Point-Slope Form (Given a Point and a Slope)

100

Through: (-3, 5)

Slope = 5

y - 5 = 5(x + 3)

200

Through: (-3, -1)

Slope = -1

y + 1 = -(x + 3)

300

Through: (-3, 3)

Slope = 

-4/3

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

400

Through: (2, 2)

Slope = 1

y - 2 = x - 2

500

Through: (-1, -2)

Slope = undefined

0 = x + 1

Point-Slope Form (Given 2 Points)

100

Through: (2, 3) and (5, 5)

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

200

Through: (-1, 4) and (0, 5)

y - 4 = x + 1

300

Through: (-2, -4) and (-3, -4)

y + 4 = 0

400

Through: (1, 2) and (-5, 1)

y - 2 = 1/6 (x - 1)

500

Through: (0, 1) and (3, 3)

y - 1 = 2/3 x

Standard Form--> Slope intercept form

100

2x-4y=16

Make sure to simplify!

y=1/2x-4

200

4y=12x+24

y=3x+6

300

10x+5y=20

y=-2x+4

400

14x+12y=24

y=-7/6x+2

500

5x+7y=21

y=-5/7x+3

Find Slope given two points

100

(4,2) (0,8)

m=-3/2

200

(10,2) (14,7)

m=5/4

300

(-2,-2) (4,-6)

m=-2/3

400

(-7,3) (4,-3)

m= -6/11

500

(15,12) (8,6)

m=6/7

Intercept

100

Find x-intercept.

5x + 4y = 25

What is 5?

200

Find the y - intercept.

5x + 4y = 10

What is 5/2?

300

Find the x - intercept.

1.2x - 2.3y = 2.8

What is 7/3?

400

Find the y-intercept. Give the full coordinate point (x,y).

3x + 27y = 9

What is (0, 1/3)?

500

Find the x-intercept. Give it as a point (x,y).

3x + 27y = 9

What is (3,0)?