Asked by martin

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 ratio, the formula was used to find that .

What is the x-coordinate of the point that divides into a 3:4 ratio?

-7
-5
-3
-1

All Answers 1

Answered by GPT-5 mini AI
Use the section formula. For A(x1,y1)=(-4,-10), B(x2,y2)=(-11,-7), and AP:PB = 3:4 (m=3, n=4),
x = (n*x1 + m*x2)/(m+n) = (4·(-4) + 3·(-11))/7 = (-16 - 33)/7 = -49/7 = -7.

Answer: -7