Straight line graphs - maths quiz

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• Straight line graph video
• What is a straight line graph?


  A visual representation of a linear function with a general equation of y = mx + c, where m is the gradient and c is the y-intercept
• Straight line graph topics


  • Plotting straight line graphs
  • Sketching a graph
  • Finding the midpoint of a line segment
  • Gradient of a line
  • y = mx + c
  • Parallel and perpendicular lines
• Summary of linear graphs
• How to plot a straight line graph
• Straight line graphs worksheet
• Straight line graphs examples
• Straight line graph examples

  • Example 1: Plot given y = mx + c and table
  • Example 2: Different axis scales
  • Example 3: Plot the straight line not in the form y = mx + c
  • Example 4: Negative gradient in the form y = mx + c
  • Example 5: Negative gradient not in the form y = mx + c
• Common misconceptions
• Practice straight line graphs questions
• Straight line graphs GCSE questions
• Learning checklist
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• GCSE Maths
• Algebra topics


  • Types Of Graphs
  • Straight Line Graphs
• Straight Line Graphs


  Learn about straight line graphs including how to draw them, calculate gradient, and sketch them
• What is a straight line graph?
• Exploring straight line graphs
• Plotting straight line graphs

  1. Substitute values for x into the equation y = mx + c to get corresponding y values

  2. Put the x and y values in a table

  3. Plot the coordinates on a graph
• Sketching a graph


  Include labelled axes, a labelled line, and the points where the line crosses the axes
• Midpoint of a line segment


  The point that lies exactly halfway between two endpoints, found by averaging the x and y coordinates
• Gradient of a line


  Tells how steep the line is, calculated as the change in y divided by the change in x between two points
• y = mx + c

  The general equation of a straight line, where m is the gradient and c is the y-intercept
• See also: Coordinates maths, Distance formula
• Coordinates


  (0,1) and (4,7)
• Finding the change in y and x

  1. Change in y = y2 - y1 = 7 - 1 = 6

  2. Change in x = x2 - x1 = 4 - 0 = 4
• Gradient


  m = 6/4 = 3/2
• The gradient of the line is m = 3/2
• General equation for a straight line


  y = mx + c
• Finding the equation of a straight line


  1. Calculate the gradient

  2. Calculate the y-intercept

  3. State the equation of the straight line
• Parallel lines


  • Lines that go in exactly the same direction and never meet
  • Gradients of parallel lines are equal