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 tu?

The slope of the line is 1

Step-by-step explanation:

* Lets revise how to find a slope of a line and what is the relation

 between the slopes of the parallel lines

- The slope of the line whose endpoints are (x1 , y1) and (x2 , y2) is

- The parallel lines have same slopes

* Lets solve the problem

- TUVW is a rectangle

- T = (a , b) , U = (a + 2 , b + 2) , V = (a + 5 , b + 1) , W = (a + 3 , b + 3)

- Lets find the slope of line TU

∵ T = (a , b) and U = (a + 2 , b + 2)

- Let T is (x1 , y1) and U is (x2 , y2)

∵ x1 = a , x2 = a + 2

∵ y1 = b , y2 = b + 2

∴ The slope of TU

- The slope of the line that contain the side TU equal the slope of the

  side TU

∴ The slope of the line contains side TU is 1

∵ The parallel lines have same slopes

∴ The slope of the line that is parallel to the line that contains side

   TU equal the slope of the line contains side Tu

∵ The slope of the line contains side TU is 1

∴ The slope of the line is 1

a

step-by-step explanation: