Question

Line segment BA

has endpoints B(−3,0)
and A(5,4).
What are the coordinates of the point located 1/4
of the way from B
to A?
Responses

(1,2)


(3,3)


(1,−1)


(−1,1)

Answer 1

The coordinates of the point located 1/4 of the way from B(-3,0) to A(5,4) are calculated by taking 1/4 of the differences in both x and y coordinates and adding them to B's coordinates, resulting in the point (-1, 1).

Step-by-step explanation:

To find the coordinates of the point located 1/4 of the way from B to A on the line segment with endpoints B(-3,0) and A(5,4), we need to calculate the difference in the x and y coordinates and then take 1/4 of those differences, adding them to the coordinates of point B.

The change in x from B to A is 5 - (-3) = 8, and the change in y is 4 - 0 = 4. Taking 1/4 of these, we get 1/4 of 8 for the x-coordinate, which is 2, and 1/4 of 4 for the y-coordinate, which is 1.

Thus, adding these to the coordinates of B gives us the new point: (-3 + 2, 0 + 1), which is (-1, 1).