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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

High School Mathematics
9.7 Parallel Line - Slope

Any two lines are parallel if and only if their slopes are equal.

Example:
y = 2x + 3 and 2y = 4x + 7, check the given two lines are parallel.
Solution:
Given that,
y = 2x + 3 ---------I
2y = 4x + 7 -------II
First we find the slopes of the given lines, if the slopes of the lines are equal then the two lines are parallel.
Slope of the first line,
y = 2x + 3
This is in the form of y = mx + c
Slope for this line is m
m = 2 Therefore, the slope of the first line is 2.
Slope for the second line,
i.e., 2y = 4x + 7
Convert this line in the form of y = mx + c
y = (4/2)x + 7/2.
y = 2x + 7/2
Slope m = 2
The slope of the second line is 2
Therefore, the slopes of two lines are equal so the given lines are parallel.


Directions: Check if the given lines are parallel. Also draw at least 5 parallel lines and show that their slopes are equal.
Q 1: 3y = 6x + 7 and 2y = 4x + 3 given lines are parallel correct it.
Correct
Not correct

Q 2: 7y = 3x + 2 and 3y = 2x + 7 given lines are parallel correct it.
Not correct
Correct

Q 3: 3y = 3x + 2 and 9y = 3x + 2 given lines are parallel correct it.
Correct
Not correct

Q 4: 4y = 2x + 3 and 3y = 5x + 7 given lines are parallel correct it.
Correct
Not correct

Q 5: 3y = 4x + 3 and 3y = 2x + 6 given lines are parallel correct it.
Correct
Not correct

Q 6: 9y = 4x + 7 and 6y = 7x + 8 given lines are parallel correct it.
Not correct
Correct

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Question 8: This question is available to subscribers only!


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