Day 4 PreCalculus Section 1.1.1

PreCalculus Section 1.1 Part 1

by Shane Devlin

Unit 1 ​Functions

​and their graphs

Section 1.1

Lines in the plane

Math Response

In 1990, Penn State University had an enrollment of 75,365 students. 

By 2009, the enrollment had increased to 87,163.

What is the average change in enrollment per year during this period?

Type answer here

Correct Answer: 621

Deg^°

Rad

Math Response

In 1990, Penn State University had an enrollment of 75,365 students. 

By 2009, the enrollment had increased to 87,163.

Write an equation that represents the given data in the form of y = mx + b.

Type answer here

Correct Answer: y=621x+75365

Deg^°

Rad

Math Response

In 1990, Penn State University had an enrollment of 75,365 students. 

By 2009, the enrollment had increased to 87,163.

Use your equation to predict how many students attended Penn State in 2000

Type answer here

Correct Answer: 81575

Deg^°

Rad

Math Response

In 1990, Penn State University had an enrollment of 75,365 students. 

By 2009, the enrollment had increased to 87,163.

Use your equation to predict how many students attended Penn State in 2010

Type answer here

Correct Answer: 87785

Deg^°

Rad

Open Ended

In 1990, Penn State University had an enrollment of 75,365 students. 

By 2009, the enrollment had increased to 87,163.

Interpret the slope in the context of the problem. What does the slope mean? What are the units involved?

​The slope of a line

​Work with your group on the following information.

Open Ended

Define slope in the context of points on a coordinate plane.

Multiple Choice

Find the slope of the line that pass through the given the points (3, 1) and (-2, 0)

• $$m\ =\ -\frac{1}{5}$$  

• m = 1

• $$m\ =\ \frac{1}{5}$$  

• m = -1

Multiple Choice

Find the slope of the line that pass through the given the points (-1, 2) and (2, 2)

• $$m\ =\ -\frac{1}{2}$$  

• m = 0

• $$m\$$  is undefined

• m = -1

Multiple Choice

What kind of line passes through the given the points (-1, 2) and (2, 2) given m = 0?

• Horizontal 

• Vertical

• Diagonal

• Uphill

• Downhill

Multiple Choice

Find the slope of the line that pass through the given the points (1, -1) and (0, 4)

• $$m\ =\ -\frac{1}{5}$$  

• $$m\ =-\frac{5}{1}$$  

• $$m\ =-\frac{1}{3}$$  is undefined.d

• m = -3

Multiple Choice

Is the slope positive, negative, zero or undefined?

• positive

• negative

• Undefined

• zero

Multiple Choice

Is the slope positive, negative, zero or undefined?

• positive

• negative

• undefined

• zero

Multiple Choice

Is the slope positive, negative, zero or undefined?

• positive

• negative

• undefined

• zero

Multiple Choice

What is the slope?

$$y\ =\ 5\ -\ \frac{2}{3}x$$  

• 5

• $$-\frac{2}{3}$$  

• 1

• undefined

Multiple Choice

What is the slope?

$$6x\ -\ 11\ y\ =\ 17$$  

• $$m\ =\ \frac{6}{11}$$  

• $$m\ =\ 6$$  

• $$m\ =\ -\frac{17}{11}$$  

• m = -11

Multiple Choice

What is the slope of the line?

• m = 3

• m = 0

• m is undefined

Multiple Choice

What is the equation of the line?

• x = 3

• y = 3

• y = x + 3

• x = y

Multiple Select

Choose the equation(s) of the line that goes through the point ( 3, -7)

and has a slope of 2.

• y + 7 = 2(x - 3)

• y + 7 = 2x + 6

• y = 2x -13

• y = 2x - 1

Multiple Select

Choose the equation(s) of the line that passes through the points ( 4, -2) and (2, 8)

• y + 2 = -5(x - 4)

• y - 8 = -5(x - 2)

• y = -5x + 18

• y = -5x - 2

Multiple Choice

Choose the equation of the horizontal line that passes through the point (3, 4)

• y = 3

• x = 3

• y = 4

• x = 4

Multiple Choice

Choose the equation of the line that passes through the points (-1, 7) and (-1. 3)

• y = -1

• x = -1

• y = 3

• x = 7

Part 1 Page 11 – 12 
# 1, 7, 9, 13, 19, 23, 27, 33, 35, 43, 44, 51

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