Question

Find the point 3/4 of the way from A(-4,-7) to B(12,5).

a. (2, -1)
b. (6, -1)
c. (8, 2)
d. (9, 4)

Answer 1

The point that is 3/4 of the way from A(-4,-7) to B(12,5) is calculated using a weighted distance formula. By applying this formula to both the x and y coordinates, we find that the point is (8, 2).

Step-by-step explanation:

To find the point that is 3/4 of the way from point A(-4,-7) to point B(12,5), we will use the formula for finding a point that lies a certain fraction of the way between two points:

Point = A + fraction(B - A)

For the x-coordinate:

x = -4 + (3/4)(12 - (-4))
x = -4 + (3/4)(12 + 4)
x = -4 + (3/4)(16)
x = -4 + 12
x = 8

For the y-coordinate:

y = -7 + (3/4)(5 - (-7))
y = -7 + (3/4)(5 + 7)
y = -7 + (3/4)(12)
y = -7 + 9
y = 2

Therefore, the point that is 3/4 of the way from A(-4,-7) to B(12,5) is (8, 2).