Answer:
Simone is correct
Step-by-step explanation:
Given
Line 1:
[tex](x_1,y_1) = (-2, 7)[/tex]
[tex](x_2,y_2) = (3, 0)[/tex]
Line 2:
[tex](x_1,y_1) = (2, 1)[/tex]
[tex](x_2,y_2) =(12, -13)[/tex]
Required
Is Simone correct?
Slope (m) is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For Line 1
[tex]m = \frac{0 - 7}{3 - (-2)}[/tex]
[tex]m = \frac{0 - 7}{3 +2}[/tex]
[tex]m = \frac{-7}{5}[/tex]
[tex]m = -\frac{7}{5}[/tex]
For Line 2:
[tex]m = \frac{-13 - 1}{12 -2}[/tex]
[tex]m = \frac{-14}{10}[/tex]
Divide by 2/2
[tex]m = \frac{-14/2}{10/2}[/tex]
[tex]m = \frac{-7}{5}[/tex]
[tex]m = -\frac{7}{5}[/tex]
By comparison, both lines have the same slope.
Hence, Simone is correct
