Question

if the mid point of a line segment joining (5,4b ) and (5a+1, -2 )is ( a, 3) find the value of a and b
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Answer 1

what do the commas mean?

Answer 2

Answer:

$a = - 2 \\ b = 2$

Step-by-step explanation:

(x1 ,y1) = (5,4b)

(x2,y2) = (5a+1, -2)

mid point(m) = (a,3)

mid point = [ (x1+x2)/2 , (y1+y2)/2 ]

(a,3)=[(5+5a+1)/2 , (4b-2)/2 ]

equate x terms with x coordinate and y terms with y coordinate

--> in x coordinate

a = (5+5a+1)/2

2a = 5a+6

3a = -6

a = -2

--> in y coordinate

3 = (4b-2)/2

6 = 4b-2

4b = 8

b = 2