Question

What is the slope-intercept form equation of the line that passes through (5.7) and (8, 22)?

A) y=-5x+18
B) y=5x+18
C) y=5x-18
D) y=-5x-18

Answer 1

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Answer 2

C . y= 5x -18

Explanation:

`(5,7) = (x_1 ,y_1) \\ (8,22)=(x_2,y_2)`

Plug in the values into the following equation

`(y - y _1)/(x - x_1) = (y_2 - y_1)/(x_2 - x_1)`

`(y - 7)/(x - 5) = (22 - 7)/(8 - 5) \\ (y - 7)/(x - 5) = (15)/(3)`

Cross Multiply

`3(y - 7) = 15(x - 15) \\ 3y - 21 = 15x - 75`

Collect like terms and simplify

`3y = 15x - 75 + 21 \\ 3y = 15x - 54`

Divide through by 3

`(3y)/(3) = (15x)/( 3 ) - (54)/(3) \\ y = 5x - 18`