Question

If coordinate of point A and B are (-2,2) and (2,-4), find the coordinate of P such that AP = 3/7AB, where P lies on line segment AB

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Given :-

• A = (-2, 2)

• B = (2, -4)

Here, we've to find the coordinates of P such that AP = 3/7AB

So first of all, we needa find the ratio by which P divides AB.

AP/PB = ??

➡ AP = 3/7AB

➡ AP/AB = 3/7

➡ AP/(AP + PB) = 3/7

➡ 7AP = 3AP + 3PB

➡ 4AP = 3PB

➡ AP/PB = 3/4

Therefore m1 = 3 and m2 = 4

Now by section formula, we get

P = [(m1x2 + m2x1)/(m1 + m2) , (m1y2 + m2y1)/(m1 + m2)]

P = [(3 × 2) + (4 × -2)/(3 + 4) , (3 × -4) + (4 × 2)/(3 + 4)]

P = [(6 - 8)/7 , (-12 + 8)/7]

P = (-2/7 , -4/7) Final answer!