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
-
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.
-
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.
-
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.
-
9D Gradient Mastered
Gradient as rise over run, positive, negative, zero and undefined gradients, and the gradient between two points.
-
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.
-
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.
Coaching Centre