Line L passes through the points (a, 2a) and (b, 2b), where a ? b. Determine the slope of line L.

Question

Line L passes through the points (a, 2a) and (b, 2b), where a ≠ b. Determine the slope of line L.

Answer 1

Line L passes through the points (a, 2a) and (b, 2b), where a ≠ b. Determine the slope of line L.

 

The slope, m, of a line is equal to the change in y over the change in x between any two points, (x₁,y₁) and (x₂,y₂), on the line.

 

m = (y₂-y₁)/(x₂-x₁)

 

In your case (x₁,y₁)=(a,2a) and (x₂,y₂)=(b,2b).  Plug those values into the slope formula above to get the answer.