Question

how to find endpoint? please give good explanation ​

Answer 1

Answer:

(-11 , -16)

Step-by-step explanation:

The midpoint will always be, as the term suggests, in the middle of the line segment. You simply need to find the distance for both x & y, and to apply that to the midpoint. In this case:

Endpoint (x₁ , y₁): (5 , 10)

Midpoint (x₂ , y₂): (-3 , -3)

Note that when finding distance, you will subtract the point₂ from point₁:

x: 5 - (-3) = 8

y: 10 - (-3) = 13

Therefore, each time you plot another point, you will be subtracting 8 from the x value, and 13 from the y value:

Endpoint (x₃ , y₃) = Midpoint (-3 , -3) + (_ - 8 , _ - 13) = (-11 , -16)

(-11 , -16) is your answer.

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Answer 2

• Let other endpoint be (x2,y2)
• One endpoint(5,10)
• Midpoint(-3,-3)

Using midpoint formula

$\boxed{\sf (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)}$

$\\ \rm\longmapsto (-3,-3)=\left(\dfrac{5+x_2}{2},\dfrac{10+y_2}{2}\right)$

Firstly

$\\ \rm\longmapsto \dfrac{5+x_2}{2}=-3$

$\\ \rm\longmapsto 5+x_2=2(-3)=-6$

$\\ \rm\longmapsto x_2=-6-5$

$\\ \rm\longmapsto x_2=-11$

Now

.$\\ \rm\longmapsto \dfrac{10+y_2}{2}=-3$

$\\ \rm\longmapsto 10+y_2==2(-3)$

$\\ \rm\longmapsto 10+y_2=-6$

$\\ \rm\longmapsto y_2=-6-10$

$\\ \rm\longmapsto y_2=-16$

Hence the coordinates are

• (x2,y2=(-11,-16)