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

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)

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

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