If Q is the midpoint of PR, find the coordinates of R if P(11,-2) and Q(4,3). ​

R = (-3, 8).

Step-by-step explanation:

Recall the midpoint formula:

Where M is the midpoint, (x₁, y₁) is one point and (x₂, y₂) is another.

We are given that Q is the midpoint of PR, where P = (11, -2) and Q = (4, 3) and we want to find the coordinates of R.

Substitute Q for M and let P(11, -2) be (x₁, y₁). Hence:

Split into two separate equations:

Solve for each case:

Therefore, our second point (x₂, y₂) is (-3, 8).

Hence, R = (-3, 8).

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step-by-step explanation: