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The slope of the line passing through the given points is  [tex]\frac{4}{3}[/tex].

Step-by-step explanation:

Given,

Two points are (-20, -16) and (7,20)

To find the slope of the line passing through these points.

Formula

The slope of a line passing through the points ([tex]x_{1} ,y_{1}[/tex]) and ([tex]x_{2} ,y_{2}[/tex]) is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Now, Putting [tex]x_{1} =-20, y_{1}=-16, x_{2}=7, y_{2}=20[/tex] we get,

Slope = [tex]\frac{20+16}{7+20}[/tex] = [tex]\frac{36}{27}[/tex] = [tex]\frac{4}{3}[/tex]

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