kellyarnold2734 kellyarnold2734
  • 03-11-2018
  • Mathematics
contestada

The points (-2,9) and (2,r) lie on a line with slope -3. Find the missing coordinate r

Respuesta :

gmany
gmany gmany
  • 07-11-2018

The formula of a slope:

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

We have the points (-2, 9) and (2, r) and the slope m = -3. Substitute:

[tex]\dfrac{r-9}{2-(-2)}=-3\\\\\dfrac{r-9}{2+2}=-3\\\\\dfrac{r-9}{4}=-3\qquad\text{multiply both sides by 4}\\\\r-9=-12\qquad\text{add 9 to both sides}\\\\\boxed{r=-3}[/tex]

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