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  • 27-12-2020
  • Mathematics
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Find the Equation of the line

Find the Equation of the line class=

Respuesta :

devishri1977
devishri1977 devishri1977
  • 27-12-2020

Answer:

[tex]y = \frac{1}{2}x + \frac{1}{2}[/tex]

Step-by-step explanation:

Mark any two point on the line

(-1 , 0)  & (-3 , -1)

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

          [tex]= \frac{-1-0}{-3-[-1]}\\\\= \frac{-1}{-3+1}\\\\= \frac{-1}{-2}\\\\= \frac{1}{2}[/tex]

m = 1/2   ; (-1 , 0)

Equation: [tex]y - y_{1} =m(x -x_{1})[/tex]

[tex]y - 0 = \frac{1}{2}(x - [-1])\\\\y = \frac{1}{2}(x + 1)\\\\y = \frac{1}{2}x + \frac{1}{2}[/tex]

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