ryleeward860 ryleeward860
  • 24-03-2022
  • Mathematics
contestada

The points (1, 6) and (r, -6) lie on a line with slope - 4. Find the missing coordinate r.

Respuesta :

Paounn
Paounn Paounn
  • 27-03-2022

Answer:

49

Step-by-step explanation:

By the definition of slope, as vertical change over horizontal change, we get

[tex]-4=m = \frac{\Delta y }{\Delta x} = \frac{r-1}{-6-6} = -\frac{r-1}{12}[/tex]

By checking the first and the last step of that chain

[tex]-4=-\frac {r-1}{12} \rightarrow r-1=48\rightarrow r= 49[/tex]

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