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 a Point and Parallel Line)

100

Through: (1, 5)

Parallel to:

y = 4x - 3

y - 5 = 4(x - 1)

200

Through: (3, 2)

Parallel to 

y = 5/3 x - 5

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

300

Through: (-4, -1)

Parallel to 

y = - 1/4 x - 5

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

400

Through: (2, 1)

Parallel to:

y = 5 /2 x + 1

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

500

Through: (-3, -2)

Parallel to: 

y = 4/3 x + 4

y + 2 = 4/3 (x + 3)

y intercepts

100

y intercept

2x + y = 1

(0, 1)

200

y intercept

3x + 3y = -3

(0, -1)

300

y intercept

5x - 2y = 10

(0, -5)

400

y intercept 

x + 3y = 33

(0, 11)

500

y intercept 

2x + 10y =5

(0, 1/2)

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

x intercepts

100

x intercept 

4x + 2y = -16

(-4, 0)

200

x intercept 

3x - 2y = 21

7, 0)

300

x intercept 

3x + y = 9

(3, 0)

400

x intercept

x -5y = 15

(15, 0)

500

x intercept 

2x + 3y = -12

(-6, 0)

All about Parallel lines

100

Are these lines parallel? 

y=5x+4

y=5x+6

Yes

200

Determine if the equations are parallel?

y = 2x + 3

y - 1 = -2(x + 1

No

300

Determine if it the lines are parallel? 

y=7x+2

-7x + y = 2

Yes

400

Write a line in point slope form that is parallel to the following information.

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

y +2 = 1(x+3)

500

Write a line in slope intercept form with a y intercept of 2 that is parallel to the line:  y - 3 = 4(x+1) 

y = 4x + 2