1
Rewrite
Rewrite the linear equation as a standard form:
−
2
3
x
+
y
−
5
=
0
−
2
3
x
+
y
−
5
=
0
2
Write the formula
Write the formula to calculate distance
∣
A
2
+
B
2
A
x
+
B
y
−
C
∣
, and substitute x and y.
∣
((
−
2
3
)
2
+
1
2
)
2
1
−
2
3
x
+
y
−
5
∣
∣
((
−
2
3
)
2
+
1
2
)
2
1
−
2
3
x
+
y
−
5
∣
3
Calculate
Substitute
{
x
=
−
1
y
=
3
into
∣
((
−
2
3
)
2
+
1
2
)
2
1
−
2
3
x
+
y
−
5
∣
Substitute
Substitute
∣
((
−
2
3
)
2
+
1
2
)
2
1
−
2
3
×
(
−
1
)
+
3
−
5
∣
∣
((
−
2
3
)
2
+
1
2
)
2
1
−
2
3
×
(
−
1
)
+
3
−
5
∣
14 steps
Calculate
Determine the sign
∣
((
2
3
)
2
+
1
2
)
2
1
2
3
+
3
−
5
∣
2 steps
Calculate the power
∣
(
4
9
+
1
2
)
2
1
2
3
+
3
−
5
∣
Calculate the power
∣
(
4
9
+
1
)
2
1
2
3
+
3
−
5
∣
Calculate the power
Calculate the power
∣
(
4
9
+
1
)
2
1
2
3
+
3
−
5
∣
3 steps
Find common denominator and write the numerators above common denominator
∣
(
4
9
+
1
)
2
1
2
3
+
2
3
×
2
−
2
5
×
2
∣
2 steps
Calculate the product or quotient
∣
(
4
9
+
1
)
2
1
2
3
+
2
6
−
2
5
×
2
∣
Calculate the product or quotient
∣
(
4
9
+
1
)
2
1
2
3
+
2
6
−
2
10
∣
Calculate the product or quotient
Calculate the product or quotient
∣
(
4
9
+
1
)
2
1
2
3
+
2
6
−
2
10
∣
Write the numerators over common denominator
∣
(
4
9
+
1
)
2
1
2
3
+
6
−
10
∣
Write the numerators over common denominator
Rewrite fractions using the Least Common Denominator
∣
(
4
9
+
1
)
2
1
2
3
+
6
−
10
∣
2 steps
Find common denominator and write the numerators above common denominator
∣
(
4
9
+
4
4
)
2
1
2
3
+
6
−
10
∣
Write the numerators over common denominator
∣
(
4
9
+
4
)
2
1
2
3
+
6
−
10
∣
Write the numerators over common denominator
Rewrite fractions using the Least Common Denominator
∣
(
4
9
+
4
)
2
1
2
3
+
6
−
10
∣
2 steps
Calculate the sum or difference
∣
(
4
9
+
4
)
2
1
2
−
1
∣
Calculate the sum or difference
∣
(
4
13
)
2
1
2
−
1
∣
Calculate the sum or difference
Calculate the sum or difference
∣
(
4
13
)
2
1
2
−
1
∣
Determine the sign
Determine the sign
∣
−
(
4
13
)
2
1
2
1
∣
Simplify using
a
m
n
=
m
a
n
Simplify using
a
m
n
=
m
a
n
∣
−
4
13
2
1
∣
Rewrite the expression using
n
ab
=
n
a
⋅
n
b
Rewrite the expression using
n
ab
=
n
a
⋅
n
b
∣
−
4
13
2
1
∣
2 steps
Factor and rewrite the radicand in exponential form
∣
−
2
2
13
2
1
∣
Simplify the radical expression
∣
−
2
13
2
1
∣
Simplify the radical expression
Factor and rewrite the radicand in exponential form
∣
−
2
13
2
1
∣
Divide a fraction by multiplying its reciprocal
Divide a fraction by multiplying its reciprocal
∣
−
2
1
×
13
2
∣
Cross out the common factor
Cross out the common factor
∣
−
13
1
∣
Rationalize the denominator
Rationalize the denominator
∣
−
13
×
13
13
∣
Simplify the radical expression
Simplify the radical expression
∣
−
13
13
∣
Calculate the
absolute value
13
13
Calculate the
absolute value
13
13
13
13
Answer
13
13
Alternative forms
≈
0.27735
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