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olga2289 [7]
3 years ago
7

Simone claims that the slope of the line through (-2, 7) and (3, 0) is the same as the slope of the line through (2, 1) and (12,

-13) is simone's claim true or false
Mathematics
1 answer:
JulijaS [17]3 years ago
3 0

Answer:

Simone is correct

Step-by-step explanation:

Given

Line 1:

(x_1,y_1) = (-2, 7)

(x_2,y_2) = (3, 0)

Line 2:

(x_1,y_1) = (2, 1)

(x_2,y_2) =(12, -13)

Required

Is Simone correct?

Slope (m) is calculated using:

m = \frac{y_2 - y_1}{x_2 - x_1}

For Line 1

m = \frac{0 - 7}{3 - (-2)}

m = \frac{0 - 7}{3 +2}

m = \frac{-7}{5}

m = -\frac{7}{5}

For Line 2:

m = \frac{-13 - 1}{12 -2}

m = \frac{-14}{10}

Divide by 2/2

m = \frac{-14/2}{10/2}

m = \frac{-7}{5}

m = -\frac{7}{5}

By comparison, both lines have the same slope.

Hence, Simone is correct

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