Question

The endpoints of CD are C(−4, 7) and D(0,−3).

The coordinates of the midpoint M of CD are ( ___ , ___ )

Answer 1

coordinates of CD is (-2, 2)

Explanation:

Formula:

Let (x₁,y₁) and (x₂,y₂) be the end points of two coordinates and (x,y) be the mid points. The value of (x,y) is given by,

x = (x₁ + x₂)/2 and y = (y₁ + y₂)/2

To find the mid point of CD

C(-4, 7) and D(0, -3)

x₁ = -4 and x₂ = 0

y₁ = 7 and y₂ = -3

x=(x₁ + x₂)/2 = (-4 + 0)/2 = (-4)/2 =-2

(y₁ + y₂)/2 = (7 + -3)/2= 4/2 = 2

Therefore coordinates of CD is (-2, 2)

Answer 2

Midpoint =(\frac{x_{2}+x_{1}}{2},\frac{y_{2}+y_{1}}{2})

Answer:

Midpoints of line CD are (-2,2).

Explanation:

The midpoints is given by

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

As given

The endpoints of CD are C(−4, 7) and D(0,−3).

Putting values in the above

`Midpoint =((0-4)/(2),(-3+7)/(2))`

`Midpoint =((-4)/(2),(4)/(2))`

Midpoints = (-2,2)

Therefore midpoints of line CD are (-2,2).