mhyricab69 mhyricab69
  • 20-09-2021
  • Mathematics
contestada

Write an equation of the line passing through the points ​(4​,10​) and ​(​-2,-20​).

Respuesta :

ALao420 ALao420
  • 20-09-2021

Answer:

y = 5x -10

Step-by-step explanation:

First, find the slope using the slope formula where

(x1,y1) = (4,10) and (x2,y2) = (-2,-20)

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{ - 20 - 10}{ - 2 - 4} [/tex]

[tex]m = \frac{ - 30}{ - 6} [/tex]

[tex]m = 5[/tex]

Next, use one point, it doesn't matter which one, and use the point-slope formula to write an equation.

y-y1 = m(x-x1)

y-10 = 5(x-4)

y = 5x - 20 + 10

y = 5x - 10

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