If the midpoint of segment ab is m(1,-3) and b(5,-10), find the coordinates of point a.

Therefore the required point A(x₁ , y₁)  = A( -3 , 4 )

Step-by-step explanation:

Given:

The midpoint of segment AB is M(1,-3)

and B(5,-10),

Let

point A( x₁ , y₁)  

point B( x₂ , y₂) ≡ (5 , -10)

M(x , y) = (1 , -3 )

To Find:

point A( x₁ , y₁)  = ?

Solution:

M is the midpoint of segment AB.    {Given}

BY Mid point Formula we have

Substituting the given values in above equation we get

Therefore the required point A(x₁ , y₁)  = A( -3 , 4 )

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.