Point Q is the midpoint between points P and R on a number line. If the coordinate of point Q is 6 and the coordinate of point P
is -5, what is the coordinate of point R? Group of answer choices
1 answer:
Answer:
![R = 17](https://tex.z-dn.net/?f=R%20%3D%2017)
Step-by-step explanation:
Given
![P = -5](https://tex.z-dn.net/?f=P%20%3D%20-5)
![Q = 6](https://tex.z-dn.net/?f=Q%20%3D%206)
<em>Midpoint: Q</em>
Required
Determine R
Since Q is the midpoint, then
![Q = \frac{1}{2}(P + R)](https://tex.z-dn.net/?f=Q%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28P%20%2B%20R%29)
Substitute values for P and Q
![6 = \frac{1}{2}(-5 + R)](https://tex.z-dn.net/?f=6%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28-5%20%2B%20R%29)
Multiply both sides by 2
![12 = -5 + R](https://tex.z-dn.net/?f=12%20%3D%20-5%20%2B%20R)
Add 5 to both sides
![12 + 5 = -5 + 5 + R](https://tex.z-dn.net/?f=12%20%2B%205%20%3D%20-5%20%2B%205%20%2B%20R)
![17 = R](https://tex.z-dn.net/?f=17%20%3D%20R)
![R = 17](https://tex.z-dn.net/?f=R%20%3D%2017)
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