AFDA_W6_Quizizz Graphing Linear Inequalities

Graphing Linear Inequalities Review

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Graphing linear inequalities is the same as graphing lines with some extra steps:

Shade Above or Below

Solid or Dotted Line

Multiple Choice

Is it shaded above or below?

$$y\ge\frac{1}{3}x-7$$  

• above

• below

Multiple Choice

Is it shaded above or below?

$$y<-2x+3$$  

• above

• below

Multiple Choice

Is it dotted or solid?   $$y>\frac{1}{2}x+3$$  

• dotted

• solid

Multiple Choice

Is it dotted or solid?   $$y\le-3x-1$$  

• dotted

• solid

Multiple Choice

Is it dotted or solid?   $$y<2x+3$$

 

• dotted

• solid

What are the solutions to a linear equality?

• Any point (x,y) that satisfies the inequality (makes it true)

• Any point (x,y) that is in the SHADED region when the inequality is graphed.

• Any point (x,y) that is ON THE LINE when the line is a SOLID LINE.

• Any points ON a dotted line are NOT solutions.

Multiple Select

Which point(s) are solutions to the inequality shown on the graph? Select all that apply.

• (0,5)

• (-2,2)

• (-3,4)

• (-1,1)

• (-4,0)

Multiple Select

Which point(s) are solutions to the inequality shown on the graph? Select all that apply.

• (-4,3)

• (1,3)

• (4,-5)

• (1,-5)

• (-3,-5)

-4x -4x
-5y ≥-4x + 10

-5y/-5 ≥ -4x/-5 + 10/-5
y ≤ 4/5x - 2

​4x - 5y ≥ 10

which means put them in slope-intercept form!

We must solve them for y...

When graphing inequalities...

Multiple Choice

What would the first step be when putting $$5x\ -3y\le12$$ in slope-intercept form?

• add 5x to both sides

• Divide by 3

• Divide by -3

• subtract 5x from both sides

Math Response

What is the slope-intercept form of

$$4x-y>3$$ ?

Type answer here

Correct Answer: y<4x-3

Deg^°

Rad

Math Response

What is the slope-intercept form of

$$5x\ +\ 2y\le4$$ ?

Type answer here

Correct Answer: y\le-\frac{5}{2}x+2

Deg^°

Rad

Multiple Choice

Consider the function y<2x+3. Which is true?

• The line would be solid with shading above.
• The line would be dashed with shading above.
• The line would be solid with shading below.
• None of these.

Multiple Choice

How can I tell if an inequality will have a solid line?

• It has an equal sign.
• The symbol is greater than.
• The symbol has "or equal to."
• You just guess.

Multiple Choice

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, -10)
• (-1, 5)
• (5, 20)

Multiple Choice

Which of the following equations match the given graph?

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

Multiple Choice

Which of the following equations match the given graph?

• y ≥ 2/5x + 1
• y ≥ -2/5x + 1
• y≤  2/5x + 1
• y ≥ -2/5x - 1

Multiple Choice

Will my line be solid?
5 ≥ x

• Yes
• No

Draw

Graph the inequality $$y<\frac{2}{3}x-1$$

Draw

Graph the inequality

$$3x-5y\le15$$