The equation of the line L1 is y = -3x - 2
The equation of the line L2 is 3y - 9x + 5 = 0
Show that these lines are parallel. - Edexcel - GCSE Maths - Question 6 - 2017 - Paper 1
Question 6
The equation of the line L1 is y = -3x - 2
The equation of the line L2 is 3y - 9x + 5 = 0
Show that these lines are parallel.
Worked Solution & Example Answer:The equation of the line L1 is y = -3x - 2
The equation of the line L2 is 3y - 9x + 5 = 0
Show that these lines are parallel. - Edexcel - GCSE Maths - Question 6 - 2017 - Paper 1
Step 1
Rearranging the Equation of L2
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Answer
To show that the lines are parallel, we first need to rearrange the equation of the line L2 into the slope-intercept form (y = mx + b).
Starting with:
3y−9x+5=0
Rearranging gives:
3y=9x−5 y=3x−35
Step 2
Identifying the Slopes
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Answer
Now we can identify the slopes of the two lines:
For L1: The slope (m) from the equation y = -3x - 2 is m1 = -3.
For L2: The slope (m) from the rearranged equation y = 3x - \frac{5}{3} is m2 = 3.
Since these two slopes are not equal (m1 ≠ m2), it indicates that the lines are not parallel.
