Graphing Inequalities in Two Variables ALGEBRA 1 UNIT

Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES

Graphing Equations

Graphing Equations Graph Y the equation: = 4 x + 3

Graphing Equations Graph Y the equation: = 4 x + 3 Step 1: Create an x/y chart Step 2: Pick two points for x Step 3: Determine the value of y given x Step 4: Graph the two points and draw the line.

Graphing Equations Practice Graph Y the equation: = -5 x – 2

Graphing Equations Practice Graph Y the equation: = -5 x – 2 Step 1: Create an x/y chart Step 2: Pick two points for x Step 3: Determine the value of y given x Step 4: Graph the two points and draw the line.

Graphing Inequalities

Graphing Inequalities Y < 2 x + 1

Graphing Inequalities Y < 2 x + 1 Step 1: Create an x/y chart Step 2: Pick two points for x Step 3: Determine the value of y given x Step 4: Graph the two points and draw the line. Step 5: Shade (detailed on next slide)

Shading Determining what side to shade: Step 1: Pick a point not on the line. (0, 0) is usually the easiest. Step 2: Plug those coordinates into the equation. Step 3: Determine if the statement is a true or false statement. Step 4: Shade the same side of the line as the point if a TRUE Statement. Shade the opposite side of the line as the point if a FALSE statement.

Graphing Inequalities Y < 2 x + 1 Step 1: Pick (0, 0) Step 2: 0 < 2(0) + 1 Step 3: 0 < 1 TRUE statement Step 4: Shade the same side as the point.

Graphing Inequalities Practice Graph: Y ≥ -3 x - 2

Graphing Inequalities Practice Graph: Y ≤¼x+½