The slope is equal to 2.
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The formula for slope is:
[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
Now we can plug the points into the equation.
[tex]\frac{5-(-5)}{3-(-2)}[/tex]
Then we can solve.
[tex]=10/5=2/1[/tex]
Simplify even further.
[tex]=2[/tex]