Question 1
1 markFind the equation of the line that is parallel to \(y = 5x + 2\) and passes through the point (0, -4).
Cambridge IGCSE · International Mathematics (0607)
Parallel lines: Practice Questions
2 multiple-choice questions marked as you go, and 4 written questions with worked solutions. All on Parallel lines.
6 questions12 marksFree, no account
Question 2
1 markThe line passing through (k, 5) and (4, 11) is parallel to the line passing through (2, -1) and (5, 8). Find the value of \(k\).
Question 3
2 marksFind the equation of a line that is parallel to \(y = 5x + 2\) and passes through the origin \((0, 0)\).
Write your answer out first, then check it against the worked solution.
Question 4
3 marksFind the equation of the line passing through \((2, -3)\) that is parallel to the line \(3x + y = 10\).
Write your answer out first, then check it against the worked solution.
Question 5
3 marksFind the equation of the line that is parallel to \(y = 3x - 5\) and passes through the point (2, 10). Give your answer in the form \(y = mx + c\).
Write your answer out first, then check it against the worked solution.
Question 6
2 marksTwo lines are represented by the equations:
Line 1: \(y = 5x + 2\)
Line 2: \(y = kx - 8\)
(a) If Line 1 and Line 2 are parallel, state the value of \(k\).
(b) Find the equation of a third line that is parallel to Line 1 and passes through the point (0, -3).
Write your answer out first, then check it against the worked solution.
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