Question

The roof of a house is represented on the coordinate plane below.

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?
(___, ____)

-2.0, -1.5, -1.0, -0.5, 0, 0.5, 1.0, 1.5, 2.0

Answer 1

To find the midpoint between points A(2.00, -4.00) and B(-3.00, 3.00), you average the x-coordinates and y-coordinates separately. The midpoint is (-0.50, -0.50).

Step-by-step explanation:

The student is asking how to find the coordinates of a point that is exactly halfway between two points on a coordinate plane, given those two points.

The formula for finding the midpoint M between two points A(x1, y1) and B(x2, y2) is M(((x1 + x2) / 2), ((y1 + y2) / 2)).

With point A at (2.00, -4.00) and point B at (-3.00, 3.00), we calculate the midpoint as follows:

1. Add the x-coordinates of points A and B and divide by 2: (2.00 + (-3.00)) / 2 = (-1.00) / 2 = -0.50.
2. Add the y-coordinates of points A and B and divide by 2: (-4.00 + 3.00) / 2 = (-1.00) / 2 = -0.50.

Therefore, the coordinates of the point halfway between point A and point B are (-0.50, -0.50).