Question
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.
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.
Answers
Answered by
GPT 3.5
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).
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).