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  • 20-02-2022
  • Mathematics
contestada

Write an equation that goes through the points (18, 3) and (21, 1)

Respuesta :

zsm2800 zsm2800
  • 20-02-2022

Answer:

[tex]2x+3y-45=0[/tex]

Step-by-step explanation:

The slope of the line that goes through (18, 3) and (21, 1) is

[tex]\frac{1-3}{{21-18}}=\frac{-2}{3}\\[/tex]

The slope of the line that goes through (18, 3) and (x, y) is

[tex]\frac{y-3}{{x-18}}[/tex]

So

[tex]\frac{y-3}{{x-18}} = \frac{-2}{3}\\-2(x-18)=3(y-3)\\-2x+36=3y-9\\2x+3y-45=0[/tex]

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