Warm Up 12-2
Manipulate these equations into slope-intercept form: y = mx + b
1. −3𝑥 + 𝑦 = 1
2. 𝑥 + 𝑦 = 4
3. 5𝑥 + 10𝑦 = 20
Graph the above equations on the same coordinate plane.
Unit 5 Day 4: Graphing
Linear Inequalities
Essential Questions: How do you graph a linear
inequality?
Example 1: Determine whether each ordered pair is a
solution to the inequality 2x - 3y > 6.
a. (0 , 0)
b. (3 , -1)
2(0) - 3(0) > 6
2(3) - 3(-1) > 6
0>6
6+3>6
not a solution
9>6
solution
Graphing a Linear Inequality
1. Plot points just like if you were using y = mx + b.
2. Connect your points with a solid line for > and <
(also equal to) and a dashed line for > and < (not
equal to).
3. Shade above the line for > and > (greater than) and
below the line for < and < (less than).
Example 2: Graph the inequality y < 3x - 2.
Example 3: Graph the inequality 3x - 5y > 15.
Remember, we divided by a
negative so flip the sign!
-5y > -3x + 15
-5
-5
-5
y < 3/5x - 3
Example 4: Graph the inequality y < -3.
Example 5: Graph the inequality x > 2.
Summary
Essential Questions: How do you graph a linear
inequality?
Take 1 minute to write 2 sentences answering the
essential questions in your notes.