Question

for the line segments with endpoints M(m,4) and N (-2,n), the midpoint is (2,1). find the m and n

a) m=8, n=-2
b)m=1,n=5
c)m=4, n=-1
d)m=2,n=-1/2

Answer 1

Step-by-step explanation:

Let say the midpoint is P(3,1).

P is mid point of M(m, 4) and N(—2, n).

By midpoint formula,

3 = (m+(—2))/2 and 1 = (4+n)/2

Therefore in solving above,

m = 8, n = (—2).

So we get M(8,4) and N(—2,—2).

So the line segment through point MN is as follows:

(y-4)/(x-8) = (4–(—2))/(8–(—2))

(y-4)/(x-8) = 6/10

(y-4)/(x-8) = 3/5

5(y-4) = 3(x-8)

5y — 3x = —24–(—20)

5y — 3x = —4

5y — 3x + 4 = 0

I hope that you have got your answer and understood it

Answer 2

Step-by-step explanation:

5y-3x+4=0

is the correct answer