aadh222303
aadh222303 aadh222303
  • 20-01-2021
  • Mathematics
contestada

Write an equation of the line that passes through (−2,3) and (0,8).

Respuesta :

devishri1977
devishri1977 devishri1977
  • 20-01-2021

Answer:

[tex]y = \frac{5}{2}x + 8[/tex]

Step-by-step explanation:

(-2 , 3 ) ; (0 , 8)

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

          [tex]= \frac{8-3}{0-[-2]}\\\\=\frac{5}{0+2}\\\\=\frac{5}{2}[/tex]

   m = 5/2 ; (0 , 8)

Equation: y -y1 = m(x -x1)

               [tex]y - 8 =\frac{5}{2}(x - 0)\\\\y - 8 =\frac{5}{2}x\\y = \frac{5}{2}x + 8[/tex]

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