mahaylascheiber mahaylascheiber
  • 28-08-2019
  • Mathematics
contestada

6) The three points (15, 189), (9, 111) and (-7, y) are all on the
same line. What is the value of y in the final ordered pair?

Respuesta :

joshlind3
joshlind3 joshlind3
  • 28-08-2019

Answer:

Step-by-step explanation:

If it's on the same line, that means that the slope from each point to the other must be the same.

Using the first given points, we can calculate the slope to be:

[tex]m = \frac{189-111}{15-9}=\frac{78}{6}=13\\[/tex]

We can solve for y

[tex]13 = \frac{111-y}{9--7}\\13=\frac{111-y}{16}\\111 - y = 208\\y = -97\\[/tex]

We can double check:

[tex]m = \frac{111--97}{9--7}\\m=\frac{208}{16}=13[/tex]

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