Answer:
(6, 3)
Step-by-step explanation:
The midpoint formula. That is:
[tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
Using this, and knowing that M is the midpoint of AB, we can find that:
[tex]\frac{8+x_2}{2}=7[/tex]
and
[tex]\frac{-3+y_2}{2}=0[/tex]
Now, we solve for x₂ and y₂. I am just going to use the variables x for x₂ and y for y₂.
First, x:
[tex]\frac{8+x}{2}=7[/tex]
Multiply both sides by 2.
8 + x = 14
Subtract 8 from both sides.
x = 6
Now y:
[tex]\frac{-3+y}{2}=0[/tex]
Multiply both sides by 2.
y - 3 = 0
Add 3 to both sides.
y = 3
So we have found that x₂ = 6 and y₂ = 3. So the coordinates of B would be (6, 3).
I hope you find my answer and explanation to be helpful. Happy studying.
