Line segment ab 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 x = (x2 – x1) + x1 was used to find that x = (–11 – (–4)) + (–4). therefore, the x-coordinate of the point that divides ab into a 3: 4 ratio is .

We are asked to solve the x-coordinates of the points that divide AB into a 3:4 ratio. Luckily, we are given with a formula in solving the X-intercept and it is x = (x2-x1)+x1. We are also given with two points such as the following:
A (-4, -10)
B (-11,-7)
Then we x1 = -4 and x2 = 11, substitute this in the given formula:
y = (11 - (-4))+( -4)
y = (11+4) -4
y = 15 -4
y =11

The answer for x-coordinate is "11" of the line segment in a 3:4 ratio.