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

Answer:

C . y= 5x -18

Step-by-step explanation:

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

Plug in the values into the following equation

$\frac{y - y _1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}$

$\frac{y - 7}{x - 5} = \frac{22 - 7}{8 - 5} \\ \frac{y - 7}{x - 5} = \frac{15}{3}$

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

$\frac{3y}{3} = \frac{15x}{ 3 } - \frac{54}{3} \\ y = 5x - 18$