juliancampos21 juliancampos21
  • 13-11-2018
  • Mathematics
contestada

Find the value of k so that the line through the given points has the given slope.



(1, k) (-1, -4) slope = 3/2

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gmany
gmany gmany
  • 15-11-2018

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the points (1, k) and (-1, -4) and the slope m = 3/2. Substitute:

[tex]\dfrac{-4-k}{-1-1}=\dfrac{3}{2}\\\\\dfrac{-4-k}{-2}=\dfrac{3}{2}\qquad\text{multiply both sides by (-2)}\\\\-4-k=-3\qquad\text{add 4 to both sides}\\\\-k=1\qquad\text{change the signs}\\\\\boxed{k=-1}[/tex]

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