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3. What is the slope of the line that passes through the points (2,-5) and (-4, -1)? Give your answer as a fraction in simplest form.

User Joe Clay
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1 Answer

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Given: the line that passes through the points (2,-5) and (-4, -1).

Find: the slope of the given line.

Step-by-step explanation: suppose,


\begin{gathered} (x_(1,)y_1)=(2,-5)\text{ } \\ (x_2,y_2)=(-4,-1) \end{gathered}

The slope of the line is equal to


m=(y_2-y_1)/(x_2-x_1)=(-1-(-5))/(-4-2)=(-1+5)/(-6)=-(4)/(6)=-(2)/(3)

Final answer: the required value of slope is


-(2)/(3)

User Necoras
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