Line intersections with axes

Find where a line crosses the x-axis and/or y-axis, typically by setting y=0 or x=0.

10 questions · Easy -1.1

1.03a Straight lines: equation forms y=mx+c, ax+by+c=0
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OCR MEI C1 2008 June Q2
4 marks Easy -1.2
2
  1. Find the points of intersection of the line \(2 x + 3 y = 12\) with the axes.
  2. Find also the gradient of this line.
OCR MEI C1 Q2
4 marks Easy -1.2
2
  1. Find the coordinates of the point where the line \(5 x + 2 y = 20\) intersects the \(x\)-axis.
  2. Find the coordinates of the point of intersection of the lines \(5 x + 2 y = 20\) and \(y = 5 - x\).
OCR MEI C1 2010 January Q3
4 marks Easy -1.2
3
  1. Find the coordinates of the point where the line \(5 x + 2 y = 20\) intersects the \(x\)-axis.
  2. Find the coordinates of the point of intersection of the lines \(5 x + 2 y = 20\) and \(y = 5 - x\).
OCR MEI C1 Q6
5 marks Moderate -0.8
The line \(L\) is parallel to \(y = -2x + 1\) and passes through the point \((5, 2)\). Find the coordinates of the points of intersection of \(L\) with the axes. [5]
OCR MEI C1 2009 June Q1
4 marks Moderate -0.8
A line has gradient \(-4\) and passes through the point \((2, 6)\). Find the coordinates of its points of intersection with the axes. [4]
OCR MEI C1 2012 June Q1
3 marks Easy -1.2
Find the equation of the line with gradient \(-2\) which passes through the point \((3, 1)\). Give your answer in the form \(y = ax + b\). Find also the points of intersection of this line with the axes. [3]
OCR MEI C1 Q1
5 marks Easy -1.2
A line \(L\) is parallel to \(y = 4x + 5\) and passes through the point \((-1, 6)\). Find the equation of the line \(L\) in the form \(y = ax + b\). Find also the coordinates of its intersections with the axes. [5]
OCR MEI C1 Q6
3 marks Easy -1.2
Find the equation of the line with gradient \(-2\) which passes through the point \((3, 1)\). Give your answer in the form \(y = ax + b\). Find also the points of intersection of this line with the axes. [3]
OCR MEI C1 Q2
4 marks Easy -1.2
  1. Find the points of intersection of the line \(2x + 3y = 12\) with the axes. [2]
  2. Find also the gradient of this line. [2]
OCR MEI C1 Q5
5 marks Moderate -0.8
  1. Find the gradient of the line \(4x + 5y = 24\). [2]
  2. A line parallel to \(4x + 5y = 24\) passes through the point \((0, 12)\). Find the coordinates of its point of intersection with the \(x\)-axis. [3]