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Mathematics
Mathematics
Problem
10. Prove that the line through the point
(
x
1
,
y
1
)
\left(x_{1}, y_{1}\right)
(
x
1
,
y
1
)
and parallel to the line
A
x
+
B
y
+
C
=
0
\mathrm{A} x+\mathrm{B} y+\mathrm{C}=0
A
x
+
B
y
+
C
=
0
is
A
(
x
−
x
1
)
+
B
(
y
−
y
1
)
=
0
\mathrm{A}\left(x-x_{1}\right)+\mathrm{B}\left(y-y_{1}\right)=0
A
(
x
−
x
1
)
+
B
(
y
−
y
1
)
=
0
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