Respuesta :
Answer:
slope = 5
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (10, - 6) and (x₂, y₂ ) = (8, - 16)
m = [tex]\frac{-16+6}{8-10}[/tex] = [tex]\frac{-10}{-2}[/tex] = 5
The slope of the line that passes through the points (10,-6) and (8,-16) is m = 5
The slope(m) of the line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
For the line that passes through the points (10,-6) and (8,-16)
x₁ = 10, y₁ = -6, x₂ = 8, y₂ = -16.
Substitute x₁ = 10, y₁ = -6, x₂ = 8, y₂ = -16 into the equation [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{y_2-y_1}{x_2-x_1} \\\\m = \frac{-16-(-6)}{8-10} \\\\m = \frac{-16+6}{-2} \\\\m = \frac{-10}{-2} \\\\m = 5[/tex]
The slope of the line that passes through the points (10,-6) and (8,-16) is m = 5
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