Slope Intercept, Standard, and Point-Slope Form

Writing in Point-Slope Form (Given a Point and a Slope)

100

Through: (3, 5)

Slope = 2

y - 5 = 2(x - 3)

200

Through: (-3, -7)

Slope = -1

y + 7 = -(x + 3)

300

Through: (-11, 3)

Slope = 

-4/3

y - 3 = - 4/3 (x + 11)

400

Through: (12, 2)

Slope = -6

y - 2 = -6(x - 12)

500

DOUBLE JEOPARDY

Write an equation for a vertical line through the point (-2,8).

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(x + 2)

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 - 0)

y - 1 = 2/3x

Standard Form

100

y = 5x + 6

5x - y = -6

200

y = -x - 4

x + y = -4

300

y = - 3/4 x + 3

3x + 4y = 12

400

2/5y = -x - 3

5x + 2y = -15

500

1/5y = 3/2x + 4

15x - 2y = -40

Slope Intercept Form (Given Point-Slope)

100

y - 5 = -(x + 3)

y = -x + 2

200

y - 2 = 1/2(x + 8)

y = 1/2x + 6

300

y + 5 = -1/3(x - 12)

y = -1/3x - 1

400

y - 4.8 = 2.9(x - 10.1)

y = 2.9x - 24.49

500

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

y = -2/3x - 11/6

Slope Intercept Form (Given a Point and a Slope)

100

y-intercept is 4

slope = -2

y = -2x + 4

200

y-intercept is -9

Slope = -7/2

y = -7/2x - 9

300

(0,1)

Slope = -5/3

y = -5/3x + 1

400

(5,0) (0,-6)

Slope = 1/5

y = 1/5x - 6

500

Through: (-4, -5)

Slope = 0

y = -5