Higher November 2022 Paper 2 Q9
9 Here are the equations of two straight lines.
\(y = \dfrac{1}{2}x - 6 \qquad\qquad 6y = 3x + 7\)
Oscar says that these lines are parallel.
Is Oscar correct?
You must give a reason for your answer. (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| Yes with comparisons shown | M1 | for starting to manipulate equation eg \(y = \dfrac{3}{6}x + \dfrac{7}{6}\) or \(y = \dfrac{1}{2}x + \dfrac{7}{6}\) or \(3y = \dfrac{3}{2}x - 6 \times 3\) or \(6y = 3x - 36\) |
| A1 | for statement and equation(s) which can be used to show that the gradients of the two lines are the same eg \(y = \dfrac{1}{2}x + \dfrac{7}{6}\) and both have a gradient of \(\dfrac{1}{2}\) or Yes, \(6y = 3x - 36\) and both have the same \(x\) coefficients |
Additional guidance
Ignore constant terms for both marks