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If the midpoint of EF is (-2,2) and the coordinates of E are (-5,1), what are the coordinates of F?

User KateYoak
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1 Answer

4 votes

Answer: (1, 3)

Explanation:

To find the coordinates of point F, we can use the midpoint formula. The midpoint formula states that the coordinates of the midpoint between two points (x₁, y₁) and (x₂, y₂) are given by the average of their respective coordinates:

Midpoint coordinates: ( (x₁ + x₂)/2, (y₁ + y₂)/2 )

In this case, we are given the coordinates of point E as (-5,1) and the midpoint as (-2,2). Let's substitute these values into the formula to find the coordinates of point F:

For the x-coordinate:

(x₁ + x₂)/2 = -2

Substituting x₁ = -5:

(-5 + x₂)/2 = -2

Multiplying both sides by 2:

-5 + x₂ = -4

Adding 5 to both sides:

x₂ = 1

So, the x-coordinate of point F is 1.

For the y-coordinate:

(y₁ + y₂)/2 = 2

Substituting y₁ = 1:

(1 + y₂)/2 = 2

Multiplying both sides by 2:

1 + y₂ = 4

Subtracting 1 from both sides:

y₂ = 3

Therefore, the coordinates of point F are (1, 3).

User Ivan Gromov
by
8.2k points

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