GRAPHING INEQUALITIES IN TWO VARIABLES
Slope – Intercept Form
EXAMPLE 1 Graph 𝒚 = 𝟐𝒙 – 𝟑
Choose 3 points:
1) A point ABOVE the line:
_______________
How does y compare to
2x – 3?
2) A point BELOW the line:
_______________
How does y compare to
2x – 3?
3) A point ON the line:
_______________
How does y compare to
2x – 3?
EXAMPLE 2 Graph 𝒚 ≤ 𝟐𝒙 – 𝟑
What would the graph look like for…
≤ : ________line, shade ________
≥ : ________line, shade ________
< : ________line, shade ________
> : ________line, shade ________
Activity 7.2.1
CP Algebra 1 2016-2017
EXAMPLES Solve each inequality by graphing.
𝟐
𝟏
3) 𝒚 > − 𝒙 + 𝟐
4) 𝒚 ≤ 𝒙 − 𝟐
5) 𝒚 < −𝒙 + 𝟓
6) 𝒚 ≥ 𝟑𝒙 + 𝟏
𝟑
𝟑
EXAMPLE 7 Which of the following points would be solutions to
𝟐
the inequality 𝒚 > 𝒙 + 𝟐 ?
𝟑
(1, 0)
Activity 7.2.1
(4, 8)
(-6, -2)
(-8, 0)
CP Algebra 1 2016-2017
(-5, -4)