June 2016 Paper 2 Q3
3 L is a straight line with equation \(\quad ax + by = c\)
where \(a\), \(b\) and \(c\) are non-zero integers.
(a) At which point does L intersect the \(x\)-axis?
Circle your answer. [1 mark]
- \(\left(\dfrac{a}{c}, 0\right)\)
- \(\left(\dfrac{c}{a}, 0\right)\)
- \(\left(\dfrac{b}{c}, 0\right)\)
- \(\left(\dfrac{c}{b}, 0\right)\)
(b) What is the gradient of a line parallel to L?
Circle your answer. [1 mark]
- \(-\dfrac{b}{a}\)
- \(\dfrac{b}{a}\)
- \(-\dfrac{a}{b}\)
- \(\dfrac{a}{b}\)
| Answer | Mark | Comments |
|---|---|---|
| \(\left(\dfrac{c}{a}, 0\right)\) | B1 |
| Answer | Mark | Comments |
|---|---|---|
| \(-\dfrac{a}{b}\) | B1 |