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]