Question

Given the points A(-1,5) and B(7,-3), which of the following options represents the coordinates of point C that sits 7/8 of the way along AB, closer to A than to B?

Answer 1

To find point C that is 7/8 of the way along AB, closer to point A than point B, use the midpoint formula.

Step-by-step explanation:

To find a point that is 7/8 of the way along AB, closer to point A than point B, we can use the midpoint formula. The midpoint of AB is the average of the x-coordinates and the average of the y-coordinates.

Let's first find the x-coordinate of the midpoint: (-1 + 7) / 2 = 3.

Then, let's find the y-coordinate of the midpoint: (5 + -3) / 2 = 1.

Therefore, the coordinates of point C that is 7/8 of the way along AB, closer to point A than point B, are (3, 1).