Graphing Linear Equations

Systems of Linear inequalities

2/08/21- 2/09/21

Multiple Choice

Bell Ringer!!!

Naomi caught half as many fish as Jack. Together, they caught 18 fish. How many fish did Jack catch?

• 6

• 9

• 12

• 15

Graphing Linear Inequalities

• Linear inequalities are graphed the exact same way as linear equations.  You may use the cover-up method to graph when the equation is in Standard Form, Ax + By = C.  Use the y - intercept and slope when equation is in Slope Intercept Form, y = mx + b.

• Some lines will be dotted and some lines will be solid.

• “Greater than” and “Less than” signs ,< and >, will be dotted lines.  This means the line is NOT included in the solution.

• “Greater than or equal to” and “Less than or equal to” signs, ≤ and ≥, will be solid lines.  This means the line IS included in the solution.

  
  

  
  

Graphing Linear Inequalities

There are 3 ways to graph inequalities

Graphing Linear Inequalities

Graph the inequality by hand

Graph using the online Ti-84

y > x-2

y > : shade above

y < : shade below

Graph inequalities with Desmos

y > x-2

Graph this inequality using desmos

 $y\ \le\ \frac{1}{2}x\ +1$  

Multiple Select

 $y\ge$  

• shade above

• shade below

• solid line

• dotted line

Multiple Select

 $y<$  

• shade above

• shade below

• solid line

• dotted line

Multiple Choice

Consider the equation:

y= -x + 4

Identify the slope and y-intercept.

• m=4, b=-x

• m=-x, b=4

• m=1, b=4

• m=-1, b=4

Multiple Choice

Select the correct graph for each inequality.

• A
• B
• C
• D

Multiple Choice

Select the correct graph for each inequality.

• A
• B
• C
• D

Multiple Choice

Select the correct graph for each inequality.

• A
• B
• C
• D

Multiple Choice

Which of the following equations match the given graph?

• y ≤ -5/4 x + 3
• y ≥ -5/4 x + 3
• y < -5/4 x + 3
• y > -5/4 x + 3

Multiple Choice

Which of the following equations match the given graph?

• x ≥ -1

• x ≤ -1

• x > -1

• x < -1

Multiple Choice

Which of the following equations match the given graph?

• y ≥ (2/5)x + 1

• y ≥ (-2/5)x + 1

• y ≤ (2/5)x + 1

• y ≥ (-2/5)x - 1

Multiple Choice

For a party, you can spend no more than $12 on peanuts and

cashews. Peanuts are $2.00/lb. and cashews are twice that. Which graph represents the solution set for this situation?

Poll

How do you feel about graphing linear inequalities?

• I understand completely

• I understand most of the topic

• I do not understand anything