The endpoints of AB are A (-9, -1) and B (-3, 7). Find the coordinates of the
midpoint M. *

(-6 , 3)

Step-by-step explanation:

Co-ordinates of A = (-9,-1)

So let x¹ = -9 & y¹ = -1

Co-ordinates of B = (-3,7)

So let x² = -3 & y² = 7

According to Section formula ,

where (x' , y') are the co-ordinates of the point which divides a line segment internally & (m , n) are the ratios in which the line is divided into.

As we have to find the co-ordinates of mid-point of AB , here m = n = 1 (∵ A mid-point always divides a line segment into 2 equal parts. Hence the ratio of length of both lines will be 1 : 1 )

Putting the values in the above formula gives :

∴ Co-ordinate of M = (-6 , 3)

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?

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