Graph linear relations on the Cartesian plane; solve linear equations and one-variable inequalities using graphical and algebraic techniques; verify solutions by substitution.
Worked example
e.g.2y=6x+4
Write the equation in the form y=mx+cy=3x+2
Choose 3 values for xx=−2,0,2
Calculate the y valuesy=−4,2,8
Plot the three points and rule a line through them(−2;−4),(0;2),(2;8)
Practice
Use the table method. Give the three points for x=−2,0,2:
1
y=2x+1
Answer(−2;−3),(0;1),(2;5)
2
y=−x+4
Answer(−2;6),(0;4),(2;2)
3
y=4x
Answer(−2;−8),(0;0),(2;8)
4
2y=4x−6
Answery=2x−3:(−2;−7),(0;−3),(2;1)
5
y=21x+3
Answer(−2;2),(0;3),(2;4)
6
y=5−3x
Answer(−2;11),(0;5),(2;−1)
Next step
Practise Drawing a Line — Table Method with instant marking
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