brynnmeade1
brynnmeade1 brynnmeade1
  • 04-10-2018
  • Mathematics
contestada

Find r if (r, 6) and (5, -4) are two points on a line with a slope of 5/7 (Hint: use the slope formula)

Respuesta :

gmany
gmany gmany
  • 06-10-2018

The formula of a slope:

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

We have

[tex](r,\ 6),\ (5,\ -4)\\\\m=\dfrac{5}{7}[/tex]

Substitute

[tex]\dfrac{-4-6}{5-r}=\dfrac{5}{7}\\\\\dfrac{-10}{5-r}=\dfrac{5}{7}\qquad|\text{cross multiply}\\\\5(5-r)=(-10)(7)\qquad|\text{use distributive property}\\\\25-5r=-70\qquad|-25\\\\-5r=-95\qquad|:(-5)\\\\\boxed{r=19}[/tex]

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