Answer:
Slope (m) = [tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
Use the following equation:
Slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (-1 , 4)\\(x_2 , y_2) = (5 , 2)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{2 - 4}{5 - (-1)} = \frac{2 - 4}{5 + 1} = \frac{-2}{6}[/tex]
Simplify. Divide common factors from both the numerator and denominator:
[tex]\frac{(-\frac{2}{6})}{\frac{2}{2} } = -\frac{1}{3}[/tex]
[tex]-\frac{1}{3}[/tex] is your answer.
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