Parallel lines - parallel lines is that they have same slope.
Intersecting lines - In linear equations, two lines have different slopes, then definitely they will meet at a certain point.
Coincident lines-lines with the same equation are practically the same line.
Then
(1) 2x+3y=40⇒3y=−2x+40⇒y=−
3
2
x+
40
6x+5y=10⇒5y−6x+10⇒y=−
5
6
10
In these line The slope is different then these line are intersecting line (b)
(2)2x+3y=40⇒3y=−2x+40⇒y=−
2x
+
6x+9y=50⇒9y=−6y+50⇒y=−
9
50
⇒y=−
In these lines the slope is same then these lines are parallel lines (c)
(3)2x+3y=10
4x+6y=20⇒2x+3y=10
The equation of these lines are same then these lines are coincident lines(a)
Then 1−b,2−c and 3−a
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Answers & Comments
Answer:
Parallel lines - parallel lines is that they have same slope.
Intersecting lines - In linear equations, two lines have different slopes, then definitely they will meet at a certain point.
Coincident lines-lines with the same equation are practically the same line.
Step by step explanation:
Then
(1) 2x+3y=40⇒3y=−2x+40⇒y=−
3
2
x+
3
40
6x+5y=10⇒5y−6x+10⇒y=−
5
6
x+
5
10
In these line The slope is different then these line are intersecting line (b)
(2)2x+3y=40⇒3y=−2x+40⇒y=−
3
2x
+
3
40
6x+9y=50⇒9y=−6y+50⇒y=−
9
6
x+
9
50
⇒y=−
3
2x
+
9
50
In these lines the slope is same then these lines are parallel lines (c)
(3)2x+3y=10
4x+6y=20⇒2x+3y=10
The equation of these lines are same then these lines are coincident lines(a)
Then 1−b,2−c and 3−a
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