Here are the equations of two straight lines - Edexcel - GCSE Maths - Question 9 - 2022 - Paper 2
Question 9
Here are the equations of two straight lines.
$$y = \frac{1}{2} x - 6$$
$$6y = 3x + 7$$
Oscar says that these lines are parallel.
Is Oscar correct? You must give... show full transcript
Worked Solution & Example Answer:Here are the equations of two straight lines - Edexcel - GCSE Maths - Question 9 - 2022 - Paper 2
Step 1
Determine the slope of the first line
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Answer
The first equation can be examined as given:
y=21x−6
From this equation, we can see that the slope (m) is (\frac{1}{2}).
Step 2
Determine the slope of the second line
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Answer
The second equation is provided in a different format:
6y=3x+7
To find the slope, we divide through by 6:
y=63x+67
This simplifies to:
y=21x+67
Thus, the slope (m) is also (\frac{1}{2}).
Step 3
Conclusion about parallel lines
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Answer
Since both lines have the same slope of (\frac{1}{2}), we conclude that the lines are indeed parallel. Therefore, Oscar is correct.
