fidelmartysingson fidelmartysingson
  • 11-04-2021
  • Mathematics
contestada

What is the equation of the line that passes through (4, 3) and (-4, -1)?

y = 2 x + 7
y = + 1
2 x + 1
y = + 7

Respuesta :

devishri1977
devishri1977 devishri1977
  • 11-04-2021

Answer:

Step-by-step explanation:

First find the slope of the line

(4 , 3) ; x₁ = 4 ; y₁ = 3

(-4,-1) ; x₂ = -4 ; y₂ = -1

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

        [tex]=\frac{-1-3}{-4-4}\\\\=\frac{-4}{-8}\\\\=\frac{1}{2}[/tex]

m = 1/2 , and take any one point (4 , 3)

y -y1 = m(x - x1)

[tex]y - 3 = \frac{1}{2}(x - 4)\\\\y -3 = \frac{1}{2}x-4*\frac{1}{2}\\\\y - 3 =\frac{1}{2}x - 2\\\\y = \frac{1}{2}x - 2 + 3\\\\y =\frac{1}{2}x + 1[/tex]

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