amay1977
amay1977 amay1977
  • 17-09-2019
  • Mathematics
contestada

write an equation for the line passing through the points with the coordinates (-1, -2) and (2, 0).​

Respuesta :

Аноним Аноним
  • 17-09-2019

Answer:

y = [tex]\frac{2}{3}[/tex]x - 1[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The line passes through points (-1,-2) and (2,0)

The slope of the line is;

Slope = change in y ÷ change in x

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

Taking another point (x,y) on the line;

Slope = [tex]\frac{y - 0}{x-2}[/tex] =  [tex]\frac{2}{3}[/tex]

y = [tex]\frac{2}{3}[/tex]x - [tex]\frac{4}{3}[/tex]

y = [tex]\frac{2}{3}[/tex]x - 1[tex]\frac{1}{3}[/tex]

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