Question

The endpoints of CD¯¯¯¯¯¯¯¯ are C(−8,−6) and D(−4, 10). The coordinates of the midpoint M of CD¯¯¯¯¯¯¯¯ are ( , ).

Answer 1

Answer:

m(-6,2)

Step-by-step explanation:

m=(-8+-4/2,-6+10/2)

=(-12/2,4/2)

=(-6,2)

Answer 2

The coordinates of the midpoint M of CD of the line segment CD with endpoints, C(−8,−6) and D(−4, 10), are (-6,2).

What is midpoint?

For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.

The formula to find the midpoint using the coordinates of the line is,

$m=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Here, (x1,y1) and (x2,y2) are the coordinates of the endpoints of the line.

The endpoints of CD are C(−8,−6) and D(−4, 10). To find the coordinates of the midpoint M, put the values in the above formula as,

$m=\left(\dfrac{-8+(-4)}{2},\dfrac{-6+10}{2}\right)\\m=\left(\dfrac{-12}{2},\dfrac{4}{2}\right)\\m=\left(-6,2)$

Thus, the coordinates of the midpoint M of CD of the line segment CD with endpoints, C(−8,−6) and D(−4, 10), are (-6,2).

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