chrisdesir
chrisdesir chrisdesir
  • 16-12-2021
  • Mathematics
contestada

The slope of (3, n) and (-7, 13) is −1/2
. Find the value of n needed to make the desired slope

Respuesta :

lor067ewp lor067ewp
  • 16-12-2021

Answer:

[tex]n = 8[/tex]

Step-by-step explanation:

Slope = (change in y-values)/(change in x-values)

[tex]\frac{-1}{2} = \frac{13 - n}{-7-3}[/tex]

[tex]-1(-7 - 3) = 2(13 -n)[/tex]

[tex]-1(-10) = 26 - 2n[/tex]

[tex]10 = 26 - 2n[/tex]

[tex]10 - 26 = -2n[/tex]

[tex]-16 = -2n[/tex]

[tex]\frac{-16}{-2} = \frac{-2n}{n}[/tex]

[tex]8 = n[/tex]

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