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Graphing Inequalities in Two VariablesALGEBRA 1 UNIT 6: INEQUALITIES
Graphing Equations
Graphing Equations
Graph the equation: Y = 4x + 3
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.
Graphing Equations Practice
Graph the equation: Y = -5x – 2
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.
ASSIGNMENT
With the two sticky- notes you have, there are 6 equations you will graph on the given graph paper. I need these turned in tomorrow!
Graphing Inequalities
Graphing Inequalities Basic Steps
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:
******* IF >,< then it is a DOTTED LINE!!
******* IF ≥, ≤ then it is a SOLID LINE!!
Step 5: Determine which side to shade (shading test explained later).
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 < 2x + 1
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)
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 < 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.
Graphing Inequalities Practice
Graph:Y ≥ -3x - 2
Graphing Inequalities Practice
Graph:Y ≤ ¼ x + ½