Module 6: Graphing Module

Module 6: Graphing Module

By Thomas HS]

This is your last chance to review before the exam tomorrow.

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​Some text here about the topic of discussion.

Slope-intercept Form

Multiple Choice

What is the slope in the equation: $$y=3x+6$$  ?

• m = 3

• m = 6

• m = $$\frac{3}{6}$$  

• m = 2

Multiple Choice

What is the y-intercept in the equation: $$y=-\frac{2}{3}x+8$$  ?

• b = -3

• b = $$-\frac{2}{3}$$  

• b = -2

• b = +8

Multiple Select

Which equation below is written in slope-intercept form?

• $$y=4x+7$$  

• $$2x+4y=8$$  

• $$y=-5x+2$$  

• $$x\ =\ 9y-5$$  

Draw

Graph $$y=\frac{3}{4}x-5$$  

Multiple Choice

What is the equation of the graph?

• $$y=-\frac{3}{2}x-5$$  

• $$y=\frac{2}{3}x+5$$  

• $$y=\frac{3}{2}x-5$$  

• $$y=-5x+2$$  

Multiple Choice

What is the equation of the graph?

• $$y=-6x+2$$  

• $$y=2x+6$$  

• $$y=6x+2$$  

• $$y=-\frac{3}{2}x-4$$  

Remember, this is where you cover up x, then solve for y.

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Then cover up y, and solve for x.​

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​Standard Form

Remember, this is where you cover up x, then solve for y.

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Then cover up y, and solve for x.​

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​Standard Form

Multiple Choice

What is the x-intercept, given the equation.

$$2x+4y=8$$  

• x = 4

• x = 2

• x = 8

• y = 4

Multiple Choice

What is the y-intercept, given the equation.

$$-3x+y=9$$  

• y = -9

• x = 9

• y = -3

• y = 9

Multiple Choice

What is the x-intercept and y-intercept for the equation?

$$-2x+4y=12$$  

• x-intercept= 6

  y-intercept = -3

• x-intercept= 6

  y-intercept = 3

• x-intercept= -6

  y-intercept = 3

• x-intercept= -6

  y-intercept = -3

Multiple Choice

What is the x-intercept and y-intercept for the graph?

 

• x-intercept= 4

  y-intercept = 6

• x-intercept= 6

  y-intercept = 4

• x-intercept= -6

  y-intercept = 4

• x-intercept= -4

  y-intercept = -6

Multiple Choice

Given the graph, what is the equation, written in standard form?

 

• $$-3x-2y=-6$$  

• $$-3x+2y=6$$  

• $$3x-2y=6$$  

• $$3x+2y=6$$  

Draw

Graph $$3x-2y=6$$  

Point-Slope Form

​y - y₁ = m (x - x₁)

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m = slope ( x₁ , y₁ )

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*Remember to switch signs for ( x₁ , y₁ )​

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Example: y - 5 = 4 (x + 1)

Some text here about the topic of discussion

Switch the signs.....

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x₁= -1

y₁= +5 (-1, 5)​

​Point (x₁,y₁)

m = 4

​Slope

Multiple Choice

Given the equation in point-slope form, what is x₁ =________?

$$y+9=\frac{5}{2}\left(x-6\right)$$  

• x₁ = 9

• x₁ = 6

• x₁ = -6

• x₁ = 5

Multiple Choice

Given the equation in point-slope form, what is (x₁,y₁) ?

$$y+10=-3\left(x-5\right)$$  

• (-3)

• (10, -3)

• (10, -5)

• (5, -10)

Multiple Choice

Given the graph, what is the equation in point-slope form?

 

• y + 2 = -2 (x - 5)

• y - 2 = -2 (x + 5)

• y - 2 = 2 (x - 5)

• y + 2 = 2 (x + 5)

Draw

Graph $$y+1=-\frac{3}{5}\left(x-2\right)$$  

Last Part to go over....

Graphing Inequalities

​Must know the signs verbally!

​Less Than

​<​

​Less Than or Equal

​≤

​Must know the signs verbally!

Greater Than

​>​

​Greater Than or Equal

​≥

​Don't forget the type of line situation!

Draw

Graph $$y<2x-4$$  

Draw

Graph $$y\ge-\frac{5}{2}x+1$$