Answer:
[tex]Slope = \frac{2}{3}[/tex]
Step-by-step explanation:
Use the slope formula:
Slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1 , y_1) = (6 , -9)\\(x_2 , y_2) = (27 , 5)[/tex]
Plug in the corresponding numbers to the corresponding terms:
m = [tex]\frac{y_2 - y_1}{x_2 - x_1} = \frac{(5) - (-9)}{(27) - (6)} = \frac{5 + 9}{27 - 6} = \frac{14}{21}[/tex]
Remember to simplify. Divide common factors from both the numerator and denominator:
[tex]\frac{ (\frac{14}{21}) }{\frac{7}{7} } = \frac{\frac{14}{7} }{\frac{21}{7} } = \frac{2}{3}[/tex]
[tex]Slope = \frac{2}{3}[/tex]
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