Find the slope of the line through points (3, -5) and (2, -9).

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Find the slope of the line between 2 points.

Slope = `(rise)/(run) = (Deltay)/(Deltax)`

The points (3, -5) and (2, -9)

So, `(-5 - (-9)) / (3 - 2)`

`4/1 = 4`

Therefore, the slope between the 2 given points is:  `4`  

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Slope of the line passing through points `(x_1,y_1)` and `(x_2,y_2)` is

`k=(y_2-y_1)/(x_2-x_1)` .

So in your case the slope is `k=(-9-(-5))/(2-3)=(-4)/-1=4`

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