Question

Point A is located at (0, 4), and point B is located at (−2, −3). Find the point that is 1 over 4 the distance from point A to point B.

(−1, 0.75)

(−0.75, 2)

(−0.5, 2.25)

(−0.25, 3)

Answer 1

@phi @mathmale

Answer 2

@beccaboo333 @terenzreignz

Answer 3

I know we have to split distance

Answer 4

Im thinking C

Answer 5

Have you tried graphing this situation and estimating visually the coordinates of the point in question?

Have you tried finding the distance from point A to point B?

The fastest way i can think of in which to address this problem is to calculate the x- and y-coordinates of this point individually:

If we move from point A to point B, x changes from 0 to -4. What is the distance traveled in the x-direction only? What is one fourth of that distance? The result will be a negative number, since x is decreasing. Since the x-coordinate of point A is 0, we combine that 0 with the (negative) quantity that represents one fourth of the horizontal distance from point A to point B.

Try these calculations now:

x-coordinate of the point which is one fourth of the distance from point A to point B =
x-coordinate of point A + (one fourth of the horiz. distance from point A to point B) = ?