Question

Find the slope determined by the following pair of points. (-2,-5), (-6, 0)​

Answer 1

Answer:
`-(5)/(4)`

This is the same as writing -5/4

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Work Shown:

`(x_1,y_1) = (-2,-5) \text{ and } (x_2,y_2) = (-6,0)\\\\m = (y_(2) - y_(1))/(x_(2) - x_(1))\\\\m = (0 - (-5))/(-6 - (-2))\\\\m = (0 + 5)/(-6 + 2)\\\\m = (5)/(-4)\\\\m = -(5)/(4)\\\\`

The slope of -5/4 means we go down 5 units and then to the right 4 units. In short, it's "down 5, right 4". This movement pattern is to help determine other points on the line.

Side note: -5/4 = -1.25