question 5 (multiple choice worth 1 points) (84.02r mc) 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

Question

Accepted Answer

# Explanation:
## Step1: Recall the slope formula
The slope formula for two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.
## Step2: Identify the coordinates of $U$ and $V$
Given $U(a + 2,b + 2)$ and $V(a+5,b - 1)$, so $x_1=a + 2,y_1=b + 2,x_2=a + 5,y_2=b-1$.
## Step3: Substitute into the slope formula
$$
\begin{align*}
m&=\frac{(b - 1)-(b + 2)}{(a + 5)-(a + 2)}\
&=\frac{b-1 - b-2}{a + 5 - a-2}\
&=\frac{-3}{3}\
&=- 1
\end{align*}
$$
## Step4: Use the property of parallel lines
Parallel lines have the same slope.

# Answer:
C. -1

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the slope formula

Step2: Identify the coordinates of \(U\) and \(V\)

Step3: Substitute into the slope formula

Step4: Use the property of parallel lines

Answer: