Higher June 2022 Paper 2 Q12
12 The equation of the line \(\mathbf{L}_1\) is \(y = 2x + 3\)
The equation of the line \(\mathbf{L}_2\) is \(5y - 10x + 4 = 0\)
Show that these two lines are parallel. (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| comparison shown | M1 | for starting to manipulate equation, eg \(5y = 10x + 15\) or \(5y = 10x - 4\) or \(y - 2x + \frac{4}{5} = 0\) or \(y - 2x = 3\) |
| A1 | for statement and equation(s) which can be used to show that the gradients of the two lines are the same, eg \(5y = 10x + 15\) and \(5y = 10x - 4\) and both have the same \(x\) coefficient OR \(y = 2x - \frac{4}{5}\) and both have a gradient of 2 |
Additional guidance
Ignore constant terms for both marks