Competency #3 Recovery

Slope

Topics in this quizizz:

- Identifying slope (direction)

- Finding slope of a line (steepness)

- Slope from a Table

- Slope from an Equation

Identifying Slope of a Line

• Slope can tell us the direction of the line!

• Refresh yourself of the 4 types of slope using the picture to the right:

Multiple Choice

What type of slope?

• positive

• negative

• zero

• undefined

Multiple Choice

What type of slope?

• negative
• steep
• undefined
• zero slope

Multiple Choice

What type of slope?

• zero slope
• undefined
• negative
• positive

Multiple Choice

What type of slope?

• undefined
• positive slope
• negative slope
• zero slope

Finding the Slope of a Line

• Slope can tell us how steep a line is!

• Each line can be assigned a value (a #) that tells us how steep the line is.

• Slope is written as a ratio (rise/run)

• Always make sure to simplify your answer!

Multiple Choice

Find the slope of the line below using rise/run.

• $$\frac{2}{3}$$

• $$\frac{3}{2}$$

• 3

• $$\frac{1}{3}$$

Multiple Choice

Find the slope of the line below using rise/run.

• $$\frac{1}{2}$$  

• $$\frac{2}{1}$$  

• 2

• 1

Multiple Choice

Find the slope of the line below using rise/run.

• 3

• $$\frac{1}{3}$$  

• 2

• 1

Multiple Choice

Find the slope of the line below using rise/run.

• $$\frac{5}{3}$$  
  

• $$\frac{3}{5}$$  
  

• 5

• $$\frac{5}{4}$$  
  

Multiple Choice

Find the slope of the line below using rise/run.

• $$\frac{1}{2}$$  
  

• $$\frac{4}{2}$$  
  

• 2

• 3

• $$\frac{2}{3}$$  

Finding slope from a Table

• Slope = change in y/change in x

• Use the table to find the value the y is changing by. That is the numerator!

• Use the table to find the value the x is changing by. That is the denominator!

• ANOTHER OPTION: Graph the points and count rise/run

Multiple Choice

Find the slope. Simplify, if you can.

• $$\frac{2}{5}$$

• $$\frac{5}{2}$$

• $$2\ \frac{1}{2}$$

• 2

Multiple Choice

Find the slope. Simplify, if you can.

• $$\frac{1}{2}$$  
  

• $$\frac{4}{8}$$  

• 4

• 2

Multiple Choice

Find the slope. Simplify, if you can.

• 3

•   $$\frac{1}{3}$$  

• $$-\frac{1}{3}$$  

• -3

Slope from an equation

• The number in front of the x in the equation is the slope!

Multiple Choice

Identify the slope in the equation:

$$y=8x$$  

• 8

• 1/8

• -8

• 0

Multiple Choice

Identify the slope in the equation:

$$y=\frac{5}{6}x$$  

• $$\frac{5}{6}$$  

• $$\frac{6}{5}$$  
  

• 5

• 6

Slope-intercept form (Algebra Introduction)

Building on Slope Knowledge

What do we know from this graph?

• slope m = -4

• y-intercept b = (0,1)

• slope intercept form

• y = -4x + 1

What do we know about this graph?

slope m = 0

y-intercept b = (0,-1)

slope-intercept

y=0x - 1

y = -1

Multiple Choice

What is the slope of this graph?

• $$\frac{2}{5}$$

• $$-\frac{2}{5}$$

• 0

Multiple Choice

What is the y-intercept of the graph?

• $$\left(0,3\right)$$

• $$\left(0,0\right)$$

• $$\left(0,-3\right)$$  

Multiple Choice

Which equation is the slope-intercept form of the graph?

• $$y=-2x+3$$

• $$y=-\frac{2}{5}x-3$$

• $$y=\frac{2}{5}x+3$$

• $$y=-\frac{2}{5}x+3$$

What do we know from this graph?

Multiple Choice

What is the slope-intercept equation of the graph?

• $$y=1x+2$$

• $$y=-1x+2$$

• $$y=2$$

• $$y=-1x$$

Multiple Choice

Using a slope of 3 and a y-intercept of (0, -2), what is the slope-intercept form?

• $$y=3x-2$$

• $$y=-2x+3$$

• $$y=3x+2$$

What do we know about this graph?

Multiple Select

Which 2 statements below are TRUE?

• The y-intercept is (0,-2)

• The y-intercept is (0,-3)

• The slope is 2

• The slope is -2

Multiple Choice

Which equation matches the situation?  A plumber charges $50 for a house call plus $12 per hour for labor. (x = number of hours worked and y = total cost)

• y = 50 x + 12

• y =12 x + 50

• y = 62 x

• x = 50 + 12y

Multiple Choice

Which graph matches the equation? $$y\ =\ -\frac{1}{3}x\ -\ 4$$  

Multiple Choice

Ryan's Auto Wash earns revenues of $9 per customer. Write an equation that shows the relationship between the number of customers x and the revenue y.

• $$y=9x$$

• $$x=9y$$

• $$y=x^9$$

• $$y=x+9$$

Multiple Choice

An amusement park has an entrance fee, and then there is a cost to ride each ride. The total cost (y) can be modeled by y=5.5x+20 where x is the number of rides you ride. What does the y intercept represent?

• Number of rides

• The entrance fee

• The cost for food

• The cost per ride

Multiple Choice

Write the equation that represents this word problem:

Marcus makes tacos at a restaurant. He has already made 8 tacos, and can make 3 tacos per minute.

• y= 8x + 3x

• y= 3x + 8

• y= 8x + 3

• y= 3 + 8

Multiple Choice

Write the equation of the graph in slope-intercept form

• $$y=-2x-4$$

• $$y=2x\ -\ 4$$

• $$y=\frac{1}{2}x-4$$

• $$y=-\frac{1}{2}x-4$$

Multiple Choice

Which graph matches the equation? $$y\ =\ \frac{1}{3}x\$$  

Standard Form Equations: x & y intercepts

By Hannah Kilgore

What is an intercept?

• x-intercepts are where the line crosses the x-axis

• y-intercepts are where the line crosses the y-axis

Multiple Choice

^{What is the x- intercept of the line?}

• (1, 0)

• (2, 0)

• ( -1, 0)

• (-2, 0)

Multiple Choice

^{What is the y- intercept of the line?}

• (-1, -1)

• (2, 0)
• ( -1, 0)
• (-2, 0)

Multiple Choice

What is the y-intercept?

• (0,7)
• (0, 0)
• (0,1)
• (0, 2)

Multiple Choice

Give the y-interecept
3x + y = 5

• (-3, 0)
• (0,5)
• (5, 0)
• (0, -3)

Multiple Choice

Give the x-intercept
3x + 8y = 24

• (8, 0)
• (0, 8)
• (3, 0)
• (0, 3)

Multiple Choice

What is the x and y intercept for the following equation ?
4x - 10y = 20

• x - int = 4    
  y-int = -10
• x-int = 5
  y-int = 2
• x - int = 5
  y int = -2
• x -int = 4
  y -int = -10

Multiple Choice

Name the x- and y-intercepts for the equation:
2x + y = 6

• (0, 3) and (6, 0)

• (0, -3) and (-6, 0)

• (3, 0) and (0, 6)

• (-3, 0) and (0, -6)