melimeldoll melimeldoll
  • 09-07-2021
  • Mathematics
contestada

Write the equation of the line that goes through points (0, 4) and (6, 16).

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devishri1977
devishri1977 devishri1977
  • 09-07-2021

Answer:

y = 2x + 4

Step-by-step explanation:

(x₁ , y₁) --> (0 ,4)    & (x₂ , y₂) = (6 , 16)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]= \frac{16-4}{6-0}\\\\=\frac{12}{6}\\\\m = 2[/tex]

(x₁  , y₁) --> (0 ,4)

y - y₁ = m(x - x₁)

y - 4 = 2(x - 0)

y - 4 = 2x

   y = 2x + 4

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