4/1 Slope Review

Slope with desmos/calculator

• The video on the next slide shows how to find slope on desmos/calculator.

  LISTEN WITH SOUND, DO NOT JUST FOLLOW WITH ME ON MUTE.
  

• Headphones are in the front bookcase if you need to borrow some.
  

• Finding slope on desmos with no work will be expected/required of you Tuesday.

​Start video at 13:02, watch until 24:00 minutes

Multiple Choice

Given the ordered pairs of a linear function, determine the rate of change.
(5, -6) and (-10,3)

• $$\frac{3}{5}$$

• $$\frac{5}{3}$$

• $$-\frac{1}{5}$$

• $$-\frac{3}{5}$$

Multiple Choice

The table shows Eli’s distance from home as he rides his bike at a steady rate after meeting a friend. . Write an equation in y = mx + b form that represents the miles, y, that Eli goes in x hours. 

• y = 2x + 2
• y = 12x -2

• y = 12x + 2
• y = 2x + 12

Multiple Choice

The graph of a linear function is shown on the grid.

Which function is best represented by this graph?

• $$g\left(x\right)=6x+4$$  

• $$g\left(x\right)=4x-\frac{2}{3}$$  

• $$g\left(x\right)=-\frac{3}{2}x+6$$  

• $$g\left(x\right)=-\frac{2}{3}+4$$  

Multiple Choice

The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed.

Based on the table, which function models this situation?

• $$f\left(n\right)\ =-3n+24$$  

• $$f\left(n\right)\ =\frac{1}{3}n+16$$  

• $$f\left(n\right)\ =-3n+64$$  

• $$f\left(n\right)\ =-\frac{1}{3}n+64$$  

Multiple Choice

The table represents some points on the graph of a linear function.

Which function represents the same relationship?

• $$h\left(x\right)=-3x-10.5$$  

• $$h\left(x\right)=-x-3.5$$  

• $$h\left(x\right)=3x-10.5$$  

• $$h\left(x\right)=x-3.5$$  

Multiple Choice

What is the slope of the line that passes through the points (2, -8) and (-3, 12)?

• $$-\frac{6}{5}$$

• $$-\frac{1}{4}$$

• $$-4$$

• $$4$$

Multiple Choice

• 14 ft/yr

• 3 ft/yr

• 7 ft/yr

• 10 ft/yr

Fill in the Blanks

What is the rate of change of y with respect to x for this function?

Multiple Select

• $$-\frac{9}{2}$$

• $$\frac{2}{9}$$

• $$-\frac{2}{9}$$

• $$\frac{9}{2}$$