JordynM780128 JordynM780128
  • 03-11-2022
  • Mathematics
contestada

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.

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PriyankaI665277 PriyankaI665277
  • 03-11-2022

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

Find: the slope of the given line.

Explanation: suppose,

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

The slope of the line is equal to

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-1-(-5)}{-4-2}=\frac{-1+5}{-6}=-\frac{4}{6}=-\frac{2}{3}[/tex]

Final answer: the required value of slope is

[tex]-\frac{2}{3}[/tex]

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