To find the distance between two points, you can use the distance formula, which is derived from the Pythagorean theorem. The distance formula is:
�
=
(
�
2
−
�
1
)
2
+
(
�
2
−
�
1
)
2
d=
(x
2
−x
1
)
2
+(y
2
−y
1
)
2
In this case, the two points are (4, 9) and (0, 6), so you can use the formula as follows:
�
=
(
0
−
4
)
2
+
(
6
−
9
)
2
d=
(0−4)
2
+(6−9)
2
Simplify inside the square root:
�
=
(
−
4
)
2
+
(
−
3
)
2
d=
(−4)
2
+(−3)
2
Calculate the squares:
�
=
16
+
9
d=
16+9
Add the squares:
�
=
25
d=
25
Finally, take the square root:
�
=
5
d=5
So, the distance between the points (4, 9) and (0, 6) is 5 units.