Chapter 9: Linear relationships Notes

The Cartesian plane, tables of values, finding rules, graphing straight lines, solving with graphs, intercepts, gradient, y = mx + c and simple non-linear graphs.

Sections

  1. 9A The Cartesian plane and plotting lines Mastered

    Coordinates in four quadrants, tables of values from a rule, plotting straight lines and checking whether a point lies on a line.

  2. 9B Finding the rule Mastered

    Finding a linear rule from a table of values or a pattern by using the constant difference and the value when x = 0.

  3. 9C Intercepts and graphical solutions Mastered

    Finding the x- and y-intercepts of a line, sketching with intercepts, and solving equations or pairs of equations from where lines meet.

  4. 9D Gradient Mastered

    Gradient as rise over run, positive, negative, zero and undefined gradients, and the gradient between two points.

  5. 9E Gradient-intercept form y = mx + c Mastered

    Reading the gradient and y-intercept from y = mx + c, writing the equation of a line, rearranging into gradient-intercept form and sketching lines.

  6. 9F Non-linear graphs Mastered

    Recognising and plotting simple non-linear relationships such as parabolas y = x² + c, and telling linear from non-linear rules and tables.

Formula sheet