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eimsori [14]
3 years ago
10

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

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
5 0

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

ELEN [110]3 years ago
4 0
Hsisnzb ok ok hello ok
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