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3 answers

Slope formula

m = y₂- y₁/ x₂- x₁

Ordered Pairs

(- 7, - 1)(5, 7)

m = 7 - (- 1) / 5 - (- 7)

m = 7 + 1 / 5 + 7

m = 8 / 12

Simplify

m = 2 / 3

Slope is 2/3

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Slope intercept form

y = mx + b

Ordered pair

(- 7, - 1)

- 1 = 2/3(-7) + b

- 1 = - 14/ 3 + b

Transpose 14/3

- 1 + 14/3 = - 14/3 + b + 14/3

- 1 + 14/3 = b

- 3/3 + 14/3 = b

11/3 = b

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The equation

y = 2/3x + 11/3

Multiply both sides of the equationby 3

3(y) = 3(2/3x) - 3(11/3)

3y = 2x + 11

Transpose 2x

- 2x + 3y = 2x + 11 - 2x

- 2x + 3y = + 11

Transpose 11

- 2x + 3y + 11 = 11 - 11

Collect like terms

- 2x +3y - 11 = 0

- - - - - - s-

2007-08-29 21:35:18 · answer #1 · answered by SAMUEL D 7 · 0 0

y - y1 = m (x - x1)
y - (-1) = 2/3 (x - (-7)
y + 1 = 2/3 (x +7)
y + 1 = 2/3x + 14/3
y + 1 - 1 = 2/3x + 14/3 - 3/3
y = 2/3x + 11/3

2007-08-30 02:50:31 · answer #2 · answered by AJ 2 · 0 0

y=2/3(x)+11/3

learn basic math

2007-08-30 02:47:21 · answer #3 · answered by Zepher 1 · 0 0

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