Drill #25 1. Find the slope intercept equation of the lines a.) parallel to and b.) perpendicular to y = ¾x + 1 passing through (6,2) 2. Find the standard form equation of the lines a.) parallel to and b.) perpendicular to 3x + y = 4 passing through (-2,4) 3. Find the standard form equation of the lines a.) parallel to and b.) perpendicular to to y = 3 passing through (3, 7)

Drill #15 Graph the following inequalities: 1. y > - ¾ x – x – y < 6 3. y < 2x4. ½ x + ¼ y < -2

2-8 Linear Inequalities Objective: To graph the solutions to linear inequalities on a coordinate plane

Graphing Linear Equations Standard Form:

Graphing Linear Equations Slope-Intercept Form:

Graphing inequalities In one variable: x > 7 Plot the point 7. Determine if open or closed. Determine if shading to the right or left.

Open and Closed Boundary Open half- plane: An inequality containing creates an open half-plane, in which the boundary line is not included in the solution. (use a dashed line to represent a open half- plane) Closed half- plane: An inequality containing creates a closed half-plane, in which the boundary line is part of the solution. (use a solid line to represent a open half-plane)

Graphing Linear Inequalities Steps for graphing inequalities 1.Graph the boundary …Change the inequality to an equation and graph the line. (Graph the equality) 2.open or closed  open closed __________ 3. shade. (Pick a test point that is not on the boundary line. If the test point makes the inequality true, shade the side of the boundary containing the test point. Otherwise shade the opposite side)

Graphing Linear Equations Standard Form:

Graphing Linear Equations Slope-Intercept Form:

Absolute Value Inequalities* To graph absolute value inequalities: 1. Graph the boundary Find the vertex Find a point on either side of the vertex Connect the dots 2. Open or Closed? 3. Shade (pick a test point) Example: SG #1, 2