1. 6.5 Graphing Inequalities in Two Variables

2. Remember… Is it in slope intercept form? Identify the y-intercept (b)
If not, then make it that way ( y=mx+b )
Identify the y-intercept (b)
Identify the slope (m)
Graph the y-intercept
Always on the y-axis
Use the slope to find the next point

3. Example 1
Graph the equation.

4. Boundary and Half-plane

5. Write this down!!
< or > – Dashed line – (like open circle) the boundary is NOT part of solution set
≤ or ≥ – Solid line – (like closed circle) boundary is part of the solution set
> or ≥ – Shade Above
< or ≤ – Shade Below

6. 5 Steps to Success Is it in slope intercept form?
If not, then make it that way ( y=mx+b )
Identify the y-intercept (b)
Identify the slope (m)
Graph the y-intercept
Always on the y-axis
Use the slope to find the next point
Solid or dashed?
Shade above or below?

7. Ex 2 y ≤ 3x – 4
Solid or dashed?
Above or below?

8. Ex 3 – 4x + 2y > 6
Solid or dashed?
Above or below?

9. Ex 4 y > 4
Solid or dashed?
Above or below?

10. Ex 5 -x – y > -1
Solid or dashed?
Above or below?

11. Finish WS 5.0 & 5.6