Answer:
1) ( [tex]-\frac{5}{2}[/tex], [tex]\frac{5}{2}[/tex])
2) 5
3) ( 2, [tex]\frac{1}{2}[/tex])
4) (17, 2)
5) (8, 7)
Step-by-step explanation:
No. 1
You can use the midpoint formula: [tex]\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}[/tex]
So, the Change In X is: -1 - 4 = -5
And the Change in Y is: 6 - 1 = 5
Once you divide both of the changes by 2, you get
X: [tex]-\frac{5}{2}[/tex]
Y: [tex]\frac{5}{2}[/tex]
So the midpoint is: ( [tex]-\frac{5}{2}[/tex], [tex]\frac{5}{2}[/tex])
_________________________________________________________
No. 2
You can just find the middle of the two numbers. You could honestly just count it on your fingers if you wanted.
8 - 3 = 5
__________________________________________________________
No. 3
You can use the midpoint formula: [tex]\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}[/tex]
So, the Change In X is: -3 - (-9) = 6
And the Change in Y is: 4 - 3 = 1
Once you divide both of the changes by 2, you get
X: 2
Y: [tex]\frac{1}{2}[/tex]
So the midpoint is: ( 2, [tex]\frac{1}{2}[/tex])
__________________________________________________________
No. 4
You can use the midpoint formula: [tex]\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}[/tex]
So, the Change in X is: -1 - X
And the Change in Y is: -12 - Y
Once you divide both of the changes by 2, you get
X: [tex]\frac{-1-X}{2} = -9[/tex]
-1 - X = -18
-X = -17
X = 17
Y: [tex]\frac{-12-Y}{2} = -7[/tex]
-12 - Y = -14
-Y = -2
Y = 2
So the endpoint is: (17, 2)
__________________________________________________________
No. 5
You can use the midpoint formula: [tex]\frac{ChangeInX}{2} ,\frac{ChangeInY}{2}[/tex]
So, the Change in X is: -14 - X
And the Change in Y is: -13 - Y
Once you divide both of the changes by 2, you get
X: [tex]\frac{-14-X}{2}=-11[/tex]
-14 - X = -22
-X = -8
X = 8
Y: [tex]\frac{-13-Y}{2} =-10[/tex]
-13 - Y = -20
-Y = -7
Y = 7
So the endpoint is: (8, 7)
