Question

What is the midpoint​

Answer 1

Answer:

(0.5, -0.5)

Step-by-step 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)

Answer 2

Answer:

$(\frac{1}{2} ,\frac{-1}{2} )$

Step-by-step 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 = $(\frac{x_{1} +x_{2} }{2} ,\frac{y_{1} +y_{2} }{2} )$

Putting given values in above formula, we have

M = $(\frac{5+(-4)}{2} ,\frac{6+(-7)}{2} )$

M = $(\frac{5-4}{2} ,\frac{6-7}{2})$

M = $(\frac{1}{2} ,\frac{-1}{2} )$ = (.5,-.5)

Hence, The mid-point of the given line segment is  $(\frac{1}{2} ,\frac{-1}{2} )$ .