what is coincident lines ( with image)
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Answers
Answer:
Coincident lines have the same a and b . Sometimes can be difficult to spot them if the equation is in implicit form: ax+by=c . For example: The two lines: x+y=3 and 2x+2y=6 are coincident!!!
Answer:
Parallel lines have space between them while coincident don't. Parallel lines do not have points in common while coincident ones have ALL points in common!!!
enter image source here
When you consider the mathematical form
y
=
a
x
+
b
for your lines you have:
1) Parallel lines differs only in the real number
b
and have the same
a
(slope).
For example:
The two lines:
y
=
3
x
+
3
and
y
=
3
x
+
5
are parallel.
The two lines described by these equations have the same inclination but cross the
y
axis in different points;
enter image source here
2) Coincident lines have the same
a
and
b
.
Sometimes can be difficult to spot them if the equation is in implicit form:
a
x
+
b
y
=
c
.
For example:
The two lines:
x
+
y
=
3
and
2
x
+
2
y
=
6
are coincident!!! (Basically the second is the first multiplied by
2
!!!). This situation happens frequently in Linear Algebra when you solve systems of linear equations.
Step-by-step explanation:
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