Question

given A(-4, 7) and B(12, -1) what are the coordinates of point C on line AB, so that C partitions line AB in the ratio 1 to 7?

Answer 1

The coordinates of point C that partitions line AB in the ratio 1 to 7 are (-2/3, -4/3).

Step-by-step explanation:

To find the coordinates of point C that partitions line AB in the ratio 1 to 7, we use the section formula. The coordinates of point C are given by:

Cx = (7 * Ax + 1 * Bx) / (7 + 1)

Cy = (7 * Ay + 1 * By) / (7 + 1)

Substituting the given coordinates of A(-4, 7) and B(12, -1), we get:

Cx = (7 * -4 + 1 * 12) / 8 = -2/3

Cy = (7 * 7 + 1 * -1) / 8 = -4/3