Question

What is the midpoint​

Answer 1

`((1)/(2) ,(-1)/(2) )`

Explanation:

We have given the end points of the line-segment.

Let (x₁,y₁) = (5,6) and (x₂,y₂) = (-4,-7)

We have to find the mid-point of the given line segment.

The formula to find Mid-point is:

M =
`((x_(1) +x_(2) )/(2) ,(y_(1) +y_(2) )/(2) )`

Putting given values in above formula, we have

M =
`((5+(-4))/(2) ,(6+(-7))/(2) )`

M =
`((5-4)/(2) ,(6-7)/(2))`

M =
`((1)/(2) ,(-1)/(2) )` = (.5,-.5)

Hence, The mid-point of the given line segment is
`((1)/(2) ,(-1)/(2) )` .

Answer 2

(0.5, -0.5)

Explanation:

We are given a line segment on the graph with two known points (ending points) and we are to find its mid point.

We know the formula for the mid point:

`Midpoint = ( \frac {x_1 + x_2} {2} ,\frac {y_1 + y_2} {2} )`

Substituting the coordinates of the given points in the above formula:

Mid point =
`(\frac {5 + (-4) } {2} , \frac { 6 + (-7)} {2} )` = (0.5, -0.5)