Answer: [tex]-\frac{5}{4}[/tex]
This is the same as writing -5/4
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Work Shown:
[tex](x_1,y_1) = (-2,-5) \text{ and } (x_2,y_2) = (-6,0)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{0 - (-5)}{-6 - (-2)}\\\\m = \frac{0 + 5}{-6 + 2}\\\\m = \frac{5}{-4}\\\\m = -\frac{5}{4}\\\\[/tex]
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
