Answer :
Answer:
y = [tex]\frac{2}{5}[/tex]x - 5[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Slope(m) = change in y ÷ change in x
m = [tex]\frac{-8 - -6}{-7 - -2}[/tex] = [tex]\frac{2}{5}[/tex]
Taking another point (x,y) on the line;
[tex]\frac{2}{5}[/tex] = [tex]\frac{y + 6}{x + 2}[/tex]
Cross multiplying gives;
y = [tex]\frac{2}{5}[/tex]x + [tex]\frac{4}{5}[/tex] - 6
Simplifying gives;
y = [tex]\frac{2}{5}[/tex]x - 5[tex]\frac{1}{5}[/tex]