To find the equation of the line that passes through ( -702, 178.5) and (100, -22)
we will use the formula;
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]From the points given:
x₁=-702 y₁=178.5 x₂ =100 y₂=-22
substituting into the formula;
[tex]y-178.5=\frac{-22-178.5}{100+702}(x+702)[/tex]Simplifying;
[tex]y-178.5=\frac{-200.5}{802}(x+702)[/tex][tex]y-178.5\text{ = -}0.25(x+\text{ 702)}[/tex]open the parenthesis;
y - 178.5 = -0.25x - 175.5
y= -0.25x - 175.5 + 178.5
y= -0.25x + 3
