9. midpoint of ab is (0,0) and a is (3,-4). find b. type a response...

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Accepted Answer

# Explanation:
## Step1: Recall the midpoint formula
The midpoint formula for two points $A(x_1,y_1)$ and $B(x_2,y_2)$ is $M(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2})$. Let $A=(3,-4)$, $M=(0,0)$ and $B=(x,y)$.
## Step2: Set up equations using the midpoint formula
For the $x$ - coordinate: $\frac{3 + x}{2}=0$. Solving for $x$:
$$
\begin{align*}
3+x&=0\times2\
3+x&=0\
x&=- 3
\end{align*}
$$
For the $y$ - coordinate: $\frac{-4 + y}{2}=0$. Solving for $y$:
$$
\begin{align*}
-4 + y&=0\times2\
-4+y&=0\
y&=4
\end{align*}
$$

# Answer:
$B=(-3,4)$

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Explanation:

Step1: Recall the midpoint formula

Step2: Set up equations using the midpoint formula

Answer: