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

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)

Point-Slope Form (Given a Point and Perpendicular Line)

100

Through: (4, -1)

Perpendicular to: y = 2x - 5

y + 1 = - 1 /2 (x - 4)

200

Through: (5, 1)

Perpendicular to: 

y = - 5 /4 x - 3

y - 1 = 4/5 (x - 5)

300

Through: (5, -2) 

Perpendicular to:

y = 5x + 4

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

400

Through: (3, -4)

Perpendicular to:

y = 2

x = 3

500

through: (-3, 5)

Perpendicular to 

y=5

0 = x - 3