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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

Respuesta :

MrRoyal

Answer:

[tex]R = 17[/tex]

Step-by-step explanation:

Given

[tex]P = -5[/tex]

[tex]Q = 6[/tex]

Midpoint: Q

Required

Determine R

Since Q is the midpoint, then

[tex]Q = \frac{1}{2}(P + R)[/tex]

Substitute values for P and Q

[tex]6 = \frac{1}{2}(-5 + R)[/tex]

Multiply both sides by 2

[tex]12 = -5 + R[/tex]

Add 5 to both sides

[tex]12 + 5 = -5 + 5 + R[/tex]

[tex]17 = R[/tex]

[tex]R = 17[/tex]

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