Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Use the slope formula:
slope [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex][tex]\frac{1}{3}[/tex]
Let:
[tex](x_1 , y_1) = (-5 , 1)\\(x_2 , y_2) = (4 , 4)\\[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{4 - 1}{4 - (-5)} = \frac{3}{4 + 5} = \frac{3}{9}[/tex]
Simplify the fraction. Divide common factors from both the numerator and denominator:
[tex]\frac{(\frac{3}{9} )}{\frac{3}{3} } = \frac{1}{3}[/tex]
[tex]\frac{1}{3}[/tex] is your answer.
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