the roof of a house is represented on the coordinate plane below.
a(-7,-2), b(5,4)
a builder attaches a support beam to the roof, at a point exactly 1/2 of the way between point a and point b.
what are the coordinates of that point? drag and drop numbers into the boxes to correctly complete the coordinates.
To find the point exactly 1/2 of the way between points A and B, we need to find the midpoint of the line segment AB.
The midpoint formula is given by:
Midpoint = [(x1 + x2) / 2, (y1 + y2) / 2]
Let's substitute the given coordinates into this formula.
Midpoint = [(-7 + 5) / 2, (-2 + 4) / 2]
Midpoint = [-2 / 2, 2 / 2]
Midpoint = [-1, 1]
Therefore, the coordinates of the point where the support beam is attached are (-1, 1).