MATH SOLVE

4 months ago

Q:
# Given the points A(2,3) and B(8,7), determine the point P that divides the segment AB, from A to B, in the ratio 2/3

Accepted Solution

A:

P = (m * x2 + n * x1) / (m + n), (m * y2 + n * y1) / (m + n)
where P is the point that divides the line segment AB in the ratio m:n, (x1, y1) and (x2, y2) are the coordinates of A and B, respectively, and m + n is the total number of parts into which the line segment is divided.
In this case, we want to find the point P that divides the segment AB in the ratio 2:3, which means that m = 2 and n = 3. Substituting the values, we get:
P = (2 * 8 + 3 * 2) / (2 + 3), (2 * 7 + 3 * 3) / (2 + 3)
P = 22/5, 23/5
Therefore, the point P that divides the segment AB, from A(2,3) to B(8,7), in the ratio 2/3 is P(22/5, 23/5).