EOC Bootcamp Day 1

Slope & Rate of Change

Using DESMOS linear regression

2 points make a line

In the second line, type the linear regression function:

y1~mx1+b

​

Use Desmos to create a table with two points

What is the slope?

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What is the equation in slope-intercept form?

What is the rate of change?

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.

.

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What is the equation in slope-intercept form?

What is the rate of change of the table?

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What is the equation of the line in slope-intercept form?

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What is the equation of the line in point-slope form?

​X	Y​
​-5	-6​
​0	-6​
10​	-12​
25​	-21​

What is the slope of the table?

.

What is the equation of the line in slope-intercept form?

.

.

What is the equation of the line in point-slope form?

2x = 6 - y

3x + 4y = 12

Rewriting Equations to y =

​What is the slope of the linear equation?  ________

​What is the rate of change of the linear equation?  ________

y + 3 = ½ (x - 4)

3(2x + y) = 12x - 4

Rewriting Equations to y =

​What is the slope of the linear equation?  ________

​What is the rate of change of the linear equation?  ________

Math Response

What is the slope of the graphed linear function?

Type answer here

Correct Answer: -\frac{1}{5}

Deg^°

Rad

Math Response

What is the equation of the graphed linear function?

Type answer here

Correct Answer: y=-\frac{1}{5}x+20

Deg^°

Rad

Math Response

What is the slope of the graphed linear function?

Type answer here

Correct Answer: -3

Deg^°

Rad

Math Response

What is the equation of the graphed linear function?

Type answer here

Correct Answer: y=-3x-9

Deg^°

Rad

Math Response

What is the rate of change of the graphed linear function?

Type answer here

Correct Answer: 6

Deg^°

Rad

Math Response

What is the equation of the graphed linear function?

Type answer here

Correct Answer: y=6x+600

Deg^°

Rad

Math Response

What is the rate of changed of the graphed linear function?

Type answer here

Correct Answer: \frac{5}{24}

Deg^°

Rad

Math Response

What is the equation of the graphed linear function?

Type answer here

Correct Answer: y=\frac{5}{24}x+75

Deg^°

Rad

Match

Match the following slopes to the correct table

• $$-\frac{1}{5}$$

• $$-3$$

• $$6$$

• $$\frac{5}{24}$$

Dropdown

​

Select answer

is the equation in slope-intercept form of this given table. ​

Select answer

represents an equation in point-slope form for this given table.

Dropdown

Equation in Slope-Intercept form: ​

Select answer

Equation in Point-Slope Form: ​

Select answer

Multiple Select

The equations that best represent the table of the linear function are:

Select THREE correct answers

• $$y=6x+600$$

• $$y=\frac{1}{6}x+600$$

• $$y-624=6\left(x-4\right)$$

• $$y-4=6\left(x-624\right)$$

• $$y=6\left(x-4\right)+624$$

Multiple Select

Which equations best represent the table of the linear function?

Select TWO correct answers

• $$y=\frac{5}{24}x+75$$

• $$y-90=\frac{5}{24}\left(x-72\right)$$

• $$y=\frac{24}{5}x+75$$

• $$y+90=\frac{24}{5}\left(x+72\right)$$

• $$y-72=\frac{5}{24}\left(x-90\right)$$

Multiple Choice

Which of the following equations is equivalent to $$x-2y=-20$$ ?

• $$y=\frac{1}{2}x+10$$

• $$y=-\frac{1}{2}x-20$$

• $$y=-2x-20$$

• $$y=-2x-40$$

Math Response

$$-3y=2x+12$$

What is the equation in slope-intercept form?

Type answer here

Correct Answer: y=-\frac{2}{3}x-4

Deg^°

Rad

Dropdown

The slope-intercept form of the equation $$9x-11y+2=0$$ is ​

Select answer

and the slope is ​ ​

Select answer

Dropdown

$$9x-12y-14=3x+22$$

The equivalent equation in slope-intercept form is ​

Select answer

and the rate of change is ​

Select answer

Math Response

Change the following equation to slope-intercept form.

$$2x-y=-2$$

Type answer here

Correct Answer: y=2x+2

Deg^°

Rad

Labelling

Complete the table to the right for the equation:

$$2x-y=-2$$

This is the same equation you converted to slope-intercept form in the previous slide

Drag labels to their correct position on the image

2

-2

10

4

-4

1

-6

-1

8

6

Graphing

Graph the following equation

$$2x-y=-2$$

This is the same equation from the last two questions

Labelling

Identify the x- and y-intercept of $$2x-y=-2$$ .

This is the same equation from the previous questions

Drag labels to their correct position on the image

2

1

-2

-1