The value of y is 17/5.
<h3>What is Midpoint?</h3>
A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.
Let two points A (x₁, y₁) and B (x₂, y₂), the midpoint between A and B is given by,
M(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Given that H is the midpoint of FG
G(4x, 6y + 6), H(4, 15) and F(2y+2, 2x+4)
⇒ (4x+2y+2)/2 = 4 and (6y+6+2x+4)/2 = 15
⇒ (4x+2y+2) = 8 and (2x+6y+10) = 30
⇒ 4x+2y = 6 and 2x+6y = 20
⇒ 2x+y = 3 and x+3y = 10
⇒ x = 10 - 3y
Substitute the value of x into 2x+y = 3
⇒ 2(10 - 3y) +y = 3
⇒ 20 - 6y +y = 3
⇒ 5y = 17
⇒ y = 17/5
Learn more about the midpoint here :
brainly.com/question/5127660
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