Question

the midpoint of the line segment joining (3m,6) and (-4,3n) is (1,2m-1). Find the values of 'm' and 'n'.​

Answer 1

Please find the attachment

Answer 2

$\red{Answer}$

Question: What are values of m and n ?

$\green{To \ find \ midpoint \ of \ points \ given }$

$\red{Formula:(x1+x2/2 , y1+y2/2)}$

Applying formula we get

midpoint= (3m-4/2 , 6+3n/2)

now this point is equal to (1,2m-1)

so equate x and y coordinate we get

3m-4=2

3m=6

$\pink{m=2}$

6+3n=4m-2

now m=2

6+3n=8-2

6+3n=6

$\orange{n=0}$

Answer : n=0 and m=2

hope it helps

$\red{peace}$

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