Point-Slope Form
Given Slope and Point
Given Two Points
Given Point and a Parallel Line
Given Point and a Perpendicular Line
100

What is point-slope form?

y-y_1=m(x-x_1)

100

Through: (2,5), slope = 1

y=x+3

100

Through (4, 2) and (6, 6).

y=2x-6

100

Through (-3, 3), parallel to 

y=-5/2x+2

y=-5/2 x-9/2

100

Through (-2, 1), perpendicular to 

y=1/2x+2

y=-2x-3

200

Through: (-5, 2), slope =

-1/3

y-2=-1/3(x+5)

200

Through: (-3, -1), slope = -1

y=-x-4

200

Through (0, 0) and (4, 4).

y=x

200

Through (2, -1), parallel to x=0

x=2

200

Through (1, -2), perpendicular to 

y=1/2x-2

y=-2x

300

Through (-4, 2), slope = 

-1/2

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

300

Through: (2,1), slope = 

-5/2

y=5/2x-4

300

Through (5, -4) and (-4, 1).

y=-5/9x-11/9

300

Through (3, 4), parallel to 

y=2/3x-1

y=2/3x+2

300

Through (3, 9), perpendicular to x=2.

y=9

400

Through: (-2, 1), slope = 

-3/2

y-1=-3/2(x+2)

400

Through (-2, 0), slope = -2

y=-2x-4

400

Through (1, 0) and (-4, -1).

y=1/5x-1/5

400

Through (-4, -5), parallel to 

y=5/4x+4

y=5/4x

400

Through (-4, -3), perpendicular to 

y=-2/3x-1

y=3/2x+3

500

Through (-5, 1), slope= undefined

x=-5 or x+5=0

500

Through (-6, 3), slope = 0.

y=3

500

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

x=-1

500

Through (-8, 7), parallel to y=2.

y=7

500

Through (-4, 4), perpendicular to 

y=4/3x+5

y=-3/4 x+1

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