`x=(-2)/(5) y=(-9)/(10)
Answers
Answer:y
−
9
=
−
1
2
⋅
(
x
−
10
)
The standard form of a linear equation is
A
x
+
B
y
=
C
.
Multiply both sides by
2
.
2
(
y
−
9
)
=
2
(
−
1
2
⋅
(
x
−
10
)
)
Simplify
2
(
y
−
9
)
.
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Apply the distributive property.
2
y
+
2
⋅
−
9
=
2
(
−
1
2
⋅
(
x
−
10
)
)
Multiply
2
by
−
9
.
2
y
−
18
=
2
(
−
1
2
⋅
(
x
−
10
)
)
Simplify
2
(
−
1
2
⋅
(
x
−
10
)
)
.
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Apply the distributive property.
2
y
−
18
=
2
(
−
1
2
x
−
1
2
⋅
−
10
)
Combine
x
and
1
2
.
2
y
−
18
=
2
(
−
x
2
−
1
2
⋅
−
10
)
Cancel the common factor of
2
.
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2
y
−
18
=
2
(
−
x
2
−
1
⋅
−
5
)
Multiply
−
1
by
−
5
.
2
y
−
18
=
2
(
−
x
2
+
5
)
Apply the distributive property.
2
y
−
18
=
2
(
−
x
2
)
+
2
⋅
5
Cancel the common factor of
2
.
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2
y
−
18
=
−
x
+
2
⋅
5
Multiply
2
by
5
.
2
y
−
18
=
−
x
+
10
Move all terms containing variables to the left side of the equation.
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Add
x
to both sides of the equation.
2
y
−
18
+
x
=
10
Move
−
18
.
2
y
+
x
−
18
=
10
Reorder
2
y
and
x
.
x
+
2
y
−
18
=
10
Move all terms not containing a variable to the right side of the equation.
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Add
18
to both sides of the equation.
x
+
2
y
=
10
+
18
Add
10
and
18
.
x
+
2
y
=
28
image of graph