Rectangle TUVW is on a coordinate plane at T (a, b), U (a + 2, b + 2), V (a + 5, b − 1), and W (a + 3, b − 3). What is the slope of the line that is parallel to the line that contains side UV?

Question

Rectangle TUVW is on a coordinate plane at T (a, b), U (a + 2, b + 2), V (a + 5, b − 1), and W (a + 3, b − 3). What is the slope of the line that is parallel to the line that contains side UV?

 −2 

2 

−1 

1

Answer 1

Because the slope of the line doesn't depend on the constants a and b, you can plug in values for a and b. The easiest way of doing this is just making both a and b equal to 0.

Therefore we get points T(0,0), U(2,2), V(5,-1), and W(3, -3).

Get the slope of line segment UV:

Use the formula: m = (y₂ - y₁)/ (x₂ - x₁)

Any line parallel to this line segment will have the same slope