6.5 Graphing Inequalities in Two Variables

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Presentation transcript:

6.5 Graphing Inequalities in Two Variables

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

Example 1 Graph the equation.

Boundary and Half-plane

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

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?

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

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

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

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

Finish WS 5.0 & 5.6