1. Linear Relationships coordinates reflections origin
non-linear relationship continuous
gradient plot rotations
magnitude increasing scale
linear equation Cartesian plane image
decreasing derive intersecting
point transformation pattern
pronumeral parallel perpendicular
solution translations table of values
graph

2. Graphing points on the Cartesian Plane

7. Number Patterns

8. Using Patterns

14. Graphing Lines

19. Finding the Equation of a Line
A rule must be true for every pair of coordinates (x, y) in a table or graph.
coefficient of x constant
y = □ × x + □
Consider a linear rule of the form y = □ × x + □.
The coefficient of x will be the increase in y as x increases by 1. If there is a decrease in y, then the coefficient will be negative.

20. Finding the Equation of a Line

24. Using Intercepts to Sketch a Line

25. Solve the equation 4 - x = 2x + 1.
Intersection of Lines
Solve the equation 4 - x = 2x + 1.

26. For each of these graphs write down the coordinates of the point of intersection (i.e. the point where the lines cross over each other).

27. Non-Linear Relationships
a Use this graph of y = x2 to solve the following equations.
b Explain why there are two solutions to each of the equations in question a above.
c Give one reason why the graph of y = x2 does not give a solution to the equation x2 = -9.
d Graph y = x + 2 and y = x2 on the same screen and graphically solve x2 = x + 2 by finding the x values of the points of intersection.