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Step-by-step explanation:
the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.
so, we see
x changes by +8 (from 5 to 13).
y changes by -6 (from -3 to -9).
so, the slope is -6/+8 = -3/4
Hello.
Let's find the slope using the slope formula:
[tex]\mathrm{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\mathrm{\displaystyle\frac{-9-(-3)}{13-5} }[/tex]
[tex]\mathrm{\displaystyle\frac{-9+3}{13-5} }[/tex]
[tex]\mathrm{\displaystyle\frac{-6}{8} }[/tex]
The fraction can be simplified:
[tex]\mathrm{\displaystyle-\frac{3}{4} }[/tex]
Therefore, the slope is
[tex]\mathrm{\displaystyle-\frac{3}{4} }[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]