Find the equation of a line through (-4, -8) and (2, 7)?

Question

Find the equation of a line through (-4, -8) and (2, 7)?

Answer 1

m = (7 + 8) / (2 + 4) = 15 / 6 = 5 / 2
y - 7 = (5 / 2) (x - 2)
y - 7 = (5 / 2) x - 5
y = (5 / 2) x + 2

Answer 2

Slope formula

m = y₂- y₁/ x₂- x₁

Ordered Pair

(- 4, - 8)(2, 7)

m = 7 - (- 8) / 2 - (- 4)

m = 7 + 8 / 2 + 4

m = 15 / 6

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Slope intercept form

y = mx + b

Ordered Pair

(- 4, - 8)

- 8 = 15/6(- 4)) + b

- 8 = - 60/6 + b

- 8 = - 10 + b

Transpose 10

- 8 + 10 = - 10 + b + 10

Collect like terms

2 = b

The equation

y = 15/6x + 2

Multiply both sides of the equation by 6

6(y) = 6(15/6x) + 6(2)

6y = 15x + 12

Transpose 15x

- 15x + 6y = 15x + 12 - 15x

Collect like terms

- 15x + 6y = 12

Transpose 12

- 15x + 6y - 12 = 12 - 12

Collect like terms

- 15x + 6y - 12 = 0

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Answer 3

you have have been given each and all the questions proper, so which you particularly do no longer want a lot help yet for the 5th questions: you are going to be able to desire to declare: by way of fact the y-intercept is -4, your first factor is at -4. The slope is two so which you may upward push 2 and run a million (upward push over run). So particularly your graph might have an excellent correlation to it and pass up by ability of two/a million each and every time having -4 by way of fact the y-intercept.

Answer 4

Slope(m) = (7 + 8)/(2 + 4) = 15/6 = 5/2

y = mx + c
y = 5/2(x) + c
7 = 5 + c
c = 2

y = 5/2(x) + 2

Answer 5

y = mx + b

m = (y2 - y1)/(x2 - x1) = (7 - (-8))/(2 - (-4)) = 15/6 = 5/2 = 2.5

y = 2.5x + b

7 = 2.5(2) + b

7 = 5 + b

b = 2

y = 2.5x + 2

Answer 6

y - y1 = [(y2-y1)/(x2-x1)] *(x - x1)

thus, we'll say (2,7) is (x1, y1) respectively, but you could've used the other point as x1, y1 (it doesn't matter)

y-7 = [15/6]*(x-2)
y-7 = [15/6]x - 5
y = [15/6]x + 2

Answer 7

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