3)find the point, m, that divides segment ab into a ratio of 3: 1 if a is at (-4, -2) and b is at (4, -10).a)(8, 2)b)(4, -2), 4)d)(2, -8)

M(5,-8)

Step-by-step explanation:

Given that,

co-ordinate A = (-4, -2)

co-ordinate B = (4, -10)

a:b = 3 : 1

Formula to use

x1 = -4

x2 = 4

y1 = -2

y2 = -10

a = 3

b = 1

(x)m = x1 + (a/a+b) * (x2 - x1)

         = -1 + 3/4 *(4 + 4)

         = 5

(y)m = y1 + (a/a+b)* (y2 - y1)

        = -2 + 3/4 (-10 + 2)

        = -2 + 3/4(-8)

        = -8

So co-ordinates of point M = (5 , -8)