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