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Graphing Inequalities in Two Variables ALGEBRA 1 UNIT 6: INEQUALITIES

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Graphing Equations

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Graph the equation: Y = 4x + 3

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

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

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

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Graphing Inequalities

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Y < 2x + 1

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Graphing Inequalities Y < 2x + 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)

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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.

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Graphing Inequalities Y < 2x + 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.

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

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Graphing Inequalities Practice Graph: Y ≤ ¼ x + ½

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