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 (Given Slope-Intercept)

100

y = 5x + 6

5x - y = -6

200

y = - 3/4 x + 3

3x + 4 y = 12

300

y = -x - 4

x + y = -4

400

y = -x - 3

x + y = -3

500

y = 3/ 2 x + 4

3x - 2 y = -8

Standard Form (Given Point-Slope)

100

y - 5 = -(x + 3)

x + y = 2

200

y - 2 = x - 4

x - y = 2

300

y - 2 = x + 1

x - y = -3

400

y - 4 = 2(x + 3)

2x - y = -10

500

y + 2 = -(x + 2)

x + y = -4

Standard Form (Given a Point and a Slope)

100

through: (-2, -4), slope = -1/2

x + 2 y = -10

200

Through: (2, -3)

Slope = -7/2

7x + 2 y = 8

300

Through: (-3, 1)

Slope = -5/3

5x + 3 y = -12

400

Through: (-5, 3)

Slope = 1/5

x - 5 y = -20

500

Through: (-4, -5)

Slope = undefined

x = -4

Standard Form (Given 2 Points)

100

Through: (0, -5) and (2, 1)

3x - y = 5

200

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

6x + y = 9

300

Through: (0, -3) and (5, -4)

x + 5y = -15

400

Through: (-3, -3) and (0, -4)

x + 3 y = -12

500

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

9x + 4 y = 16