Lesson: Distance Formula
The distance formula
The distance formula
d = 
(x2-x1)2 + (y2-y1)2
The distance formula
is used to find the distance between two points
d = 
(x2-x1)2 + (y2-y1)2
The distance formula
is used to find the distance between two points
d = 
(x2-x1)2 + (y2-y1)2
The distance formula
is used to find the distance between two points
d = 
(x2-x1)2 + (y2-y1)2
The distance formula
is used to find the distance between two points
d = 
(x2-x1)2 + (y2-y1)2
The distance formula
is used to find the distance between two points
d = 
(x2-x1)2 + (y2-y1)2
on a graph
The distance formula
is used to find the distance between two points
d = 
(x2-x1)2 + (y2-y1)2
on a graph
First label the points as x1, x2, y1, y2
d = 
(x2-x1)2 + (y2-y1)2
First label the points as x1, x2, y1, y2
(-3 , 1)
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
First label the points as x1, x2, y1, y2
(-3 , 1)
x1
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
First label the points as x1, x2, y1, y2
(-3 , 1)
x1
y1
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
First label the points as x1, x2, y1, y2
(-3 , 1)
x1
y1
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
x2
First label the points as x1, x2, y1, y2
(-3 , 1)
x1
y1
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
x2
y2
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
x1
y1
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
x2
y2
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
x1
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
x1
y1
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
x2
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
x1
y1
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
x1
y1
Then plug them into the formula
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
x1
y1
Then plug them into the formula
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
x1
y1
Then plug them into the formula
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(-3
(3 , 3)
x1
y1
Then plug them into the formula
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(-3 -
(3 , 3)
x1
y1
Then plug them into the formula
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(-3 - 3)
(3 , 3)
x1
y1
Then plug them into the formula
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(-3 - 3)2
(3 , 3)
x1
y1
Then plug them into the formula
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(-3 - 3)2 +
(3 , 3)
x1
y1
Then plug them into the formula
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(-3 - 3)2 + (1
(3 , 3)
x1
y1
Then plug them into the formula
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(-3 - 3)2 + (1 +
(3 , 3)
x1
y1
Then plug them into the formula
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(-3 - 3)2 + (1 + 3)
(3 , 3)
x1
y1
Then plug them into the formula
First label the points as x1, x2, y1, y2
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(-3 - 3)2 + (1 + 3)2
(3 , 3)
x1
y1
Then plug them into the formula
First label the points as x1, x2, y1, y2
and simplify
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(-3 - 3)2 + (1 + 3)2
(3 , 3)
x1
y1
Then plug them into the formula
First label the points as x1, x2, y1, y2
and simplify
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(-6)2 + (4)2
(x2-x1)2 + (y2-y1)2
(-3 - 3)2 + (1 + 3)2
(3 , 3)
x1
y1
Then plug them into the formula
First label the points as x1, x2, y1, y2
and simplify
(you can label them either way)
(-3 , 1)
x2
y2
d = 
(-6)2 + (4)2
(x2-x1)2 + (y2-y1)2
(-3 - 3)2 + (1 + 3)2
(3 , 3)
x1
y1
=
36 + 16
Then plug them into the formula
First label the points as x1, x2, y1, y2
and simplify
(you can label them either way)
52
(-3 , 1)
x2
y2
d = 
(-6)2 + (4)2
(x2-x1)2 + (y2-y1)2
(-3 - 3)2 + (1 + 3)2
(3 , 3)
x1
y1
=
36 + 16
This answer can be simplified
52
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
x1
y1
This answer can be simplified
to an exact answer
52
(-3 , 1)
x2
y2
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
x1
y1
This answer can be simplified
to an exact answer
52
(-3 , 1)
x2
2
y2
13
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
x1
y1
This answer can be simplified
to an exact answer or a rounded answer
52
(-3 , 1)
x2
2
y2
13
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
x1
y1
This answer can be simplified
to an exact answer or a rounded answer
52
(-3 , 1)
x2
7.2111
2
y2
13
d = 
(x2-x1)2 + (y2-y1)2
(3 , 3)
x1
y1
d = 
(
(x2-x1)2 + (y2-y1)2
,
)
(
,
)
d = 
(
x1
?
2
(x2-x1)2 + (y2-y1)2
,
y1
1
)
(
x2
5
,
5
y2
?
)
(
-
)2
+ (
-
)2
d = 
(
x1
2
(x2-x1)2 + (y2-y1)2
,
y1
1
)
(
x2
5
,
5
y2
)
(
(
5
-
)2
2
+ (
)2
+ (
)2
5
-
1
)2
d = 
(
x1
2
(x2-x1)2 + (y2-y1)2
,
y1
1
)
(
x2
5
,
5
y2
)
(
(
3
5
+
-
)2
2
+ (
)2
+ (
4
)2
5
-
1
)2
d = 
(
x1
2
(x2-x1)2 + (y2-y1)2
,
y1
1
)
(
x2
5
,
5
y2
)
(
9
(
+
3
5
16
-
)2
2
+ (
=
)2
+ (
4
)2
5
-
1
)2
d = 
(
x1
2
(x2-x1)2 + (y2-y1)2
,
y1
1
)
(
x2
5
,
5
y2
)
(
9
(
+
3
5
16
-
)2
2
+ (
=
)2
+ (
4
25
)2
5
=
-
1
)2
d = 
(
x1
2
(x2-x1)2 + (y2-y1)2
,
y1
1
)
(
x2
5
,
5
y2
)
Another method of finding
the distance is to use
(
2
,
1
)
(
5
,
5
)
Another method of finding
the Pythagorean theorum
the distance is to use
(
2
,
1
)
(
5
,
5
)
Another method of finding
the Pythagorean theorum
the distance is to use
a2 +b2 = c2
(
2
,
1
)
(
5
,
5
)
Another method of finding
the Pythagorean theorum
the distance is to use
a2 +b2 = c2
A right triangle can be made
(
2
,
1
)
(
5
,
5
)
Another method of finding
the Pythagorean theorum
the distance is to use
a2 +b2 = c2
A right triangle can be made
(
drawing the legs parallel
2
to the axis
,
1
)
(
5
,
5
)
Another method of finding
the Pythagorean theorum
the distance is to use
a2 +b2 = c2
A right triangle can be made
(
drawing the legs parallel
2
to the axis
,
1
)
(
5
,
5
)
Another method of finding
the Pythagorean theorum
the distance is to use
a2 +b2 = c2
A right triangle can be made
(
drawing the legs parallel
2
to the axis
,
1
)
(
5
,
5
)
Another method of finding
the Pythagorean theorum
the distance is to use
a2 +b2 = c2
Then the side lengths 
(
can easily be found
2
,
1
3
)
(
5
,
5
)
Another method of finding
the Pythagorean theorum
the distance is to use
a2 +b2 = c2
Then the side lengths 
(
can easily be found
2
,
1
3
)
(
4
5
,
5
)
Another method of finding
the Pythagorean theorum
the distance is to use
a2 +b2 = c2
Using the legs we can
(
find the hypontenuse
2
,
1
3
)
(
4
5
,
5
)
Another method of finding
the Pythagorean theorum
the distance is to use
a2 +b2 = c2
Using the legs we can
(
find the hypontenuse
2
(which is the distance)
,
1
3
)
(
4
5
,
5
)
Another method of finding
the Pythagorean theorum
the distance is to use
32 + 42 = c2
a2 +b2 = c2
Using the legs we can
(
find the hypontenuse
2
(which is the distance)
,
1
3
)
(
4
5
,
5
)
Another method of finding
the Pythagorean theorum
the distance is to use
32 + 42 = c2
9 + 16 = c2
a2 +b2 = c2
Using the legs we can
(
find the hypontenuse
2
(which is the distance)
,
1
3
)
(
4
5
,
5
)
Another method of finding
the Pythagorean theorum
the distance is to use
32 + 42 = c2
9 + 16 = c2
a2 +b2 = c2
25 = c2
Using the legs we can
(
find the hypontenuse
2
(which is the distance)
,
1
3
)
(
4
5
,
5
)
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