Question

Line segment has endpoints A(-4, -10) and B(-11, -7). To find the x-coordinate of the point that divides the directed line segment in a 3:4 ratio, the formula was used to find that.

A. -7
B. -5
C. -3
D. -1

Answer 1

To find the x-coordinate of the point that divides the line segment AB in a 3:4 ratio, you can use the formula: x = (4x2 - 3x1) / (4 - 3)

Step-by-step explanation:

To find the x-coordinate of the point that divides the line segment AB in a 3:4 ratio, you can use the formula:

x = (4x2 - 3x1) / (4 - 3)

Plugging in the values, x1 = -4 and x2 = -11, we get:

x = (4*(-11) - 3*(-4)) / (4 - 3) = (-44 + 12) / 1 = -32 / 1 = -32

The x-coordinate of the point that divides the line segment AB in a 3:4 ratio is -32. Therefore, the correct answer is D. -32.