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tatiyna
3 years ago
14

1 Line AB passes through the points A(-1, -2) and B(3,8). Would AB be parallel to a line whose slope is equal to 3?

Mathematics
1 answer:
enyata [817]3 years ago
7 0

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the line above

(\stackrel{x_1}{-1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-1)}}}\implies \cfrac{8+2}{3+1}\implies \cfrac{10}{4}\implies \cfrac{5}{2}~\hfill \stackrel{\textit{\large nope}}{\cfrac{5}{2}\ne 3}

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