GCSE Maths Straight-Line Graphs and Coordinates: lesson and practice questions

By the end of this chapter you will be able to

• Plot and read coordinates in all four quadrants, and find missing corners of shapes
• Find the midpoint of a line segment and its length using Pythagoras’ theorem
• Draw straight-line graphs from tables of values, including horizontal and vertical lines
• Find and interpret the gradient and y-intercept of a line, and use y = mx + c
• Find the equation of a line from a graph, two points, or a point and a gradient
• Use gradients to identify parallel and (Higher) perpendicular lines
• Draw and interpret real-life graphs, and read the gradient as a rate of change
• Find where two lines cross

You should already know

• Negative numbers and the four operations (Chapter 1)
• Substituting into expressions and formulae (Chapter 8)
• Solving linear equations (Chapter 9)
• Simplifying fractions (Chapter 3)

Where this leads

• Quadratic and other graphs (Chapter 13)
• Simultaneous equations (Chapter 14)
• Direct proportion and compound measures (Chapter 16)
• Pythagoras’ theorem in full (Chapter 20)
• Transformations on a grid (Chapter 21)
• Functions and gradients of curves (Chapter 25)