Answer:
The slope parallel to the line that contains side WV is 1.
Step-by-step explanation:
- The slope of parallel lines is also same.
- The product of perpendicular lines is -1.
Slope formula:
The slope of a line by joining two points (x₁,y₁) and (x₂,y₂) is
![tan\theta=m= \frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=tan%5Ctheta%3Dm%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
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).
Here,x₁=a+3, y₁=b-3, x₂=a+5, y₂=b-1
Then the slope of line WV is
![=\frac{(b-1)-(b-3)}{(a+5)-(a+3)}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B%28b-1%29-%28b-3%29%7D%7B%28a%2B5%29-%28a%2B3%29%7D)
![=\frac{b-1-b+3}{a+5-a-3}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bb-1-b%2B3%7D%7Ba%2B5-a-3%7D)
![=\frac{2}{2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B2%7D%7B2%7D)
=1
Since the slope of parallel sides is always equal.
Then the slope parallel to the line that contains side WV is 1.