Solving for y, Slope and Slope Intercept Form, Graphing Linear Equations, Point-Slope and Slope-Intercept, Slope, Linear Equations Word Problems, Graphing Linear Equation Word Problems

Horizontal Line

0 Slope

y=30x+4

A company started with 4 customers, and gained 30 customers per week. Write an equation in slope-intercept form that models this situation.

y=10x+35000

A salesperson receives a base salary of $35,000 and an hourly pay of $10. Write an equation to relate the total amount of money earned to the sales.

Renting a canoe costs $10 plus $28 per day. Write the equation, C(t) that models the cost of renting a canoe (C) to the days rented (t).

C(t) = 28t +10

-1/26

Find the slope of the line connecting these points.

-4

Find the slope of the line connecting these points.

-8/11

Find the slope of the line connecting these points.

0

Find the slope of the line connecting these points.

11/2

Find the slope of the line connecting these points.

He reads 40 pages per hour.

Interpret the slope.

They travel 65 miles an hour toward their destination.

Interpret the slope.

Rise over Run

Slope

y=1.50x+4

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

y=4x+1.50

Suppose that a stroller rents for $1.50 plus $4 per hour. Write an equation in slope-intercept form that models this situation.

zero

The slope of a horizontal line is _______________.

undefined

The slope of a vertical line is _________________.

positive

The slope of the line is: A. positive B. negative

negative

The slope of the line is: A. positive B. negative

The slope is zero.

The slope of this line is: A. 0 B. undefined

-2

What is the slope of this line? Hint: RISE over RUN

3

What is the y-intercept of the equation: y= 2x + 3

x = 0

x = 0

Your owe Ms. Negron 100 dollars, you are paying her back 5 dollars per day. Write and solve an equation to determine when you will pay Ms. Negron back.

y = -5x + 100 0 = -5x + 100 x = 20 You will pay Ms. Negron back in 20 days.

Given (-3, 2), m = -5 write an equation in slope-intercept form

y = -5x - 13

7x + 2y = 6

y = -7/2x + 3

Given (4, -1), m = 3 write an equation in point-slope form

y = 3x - 13

4x - 3y = -6

y = 4/3x + 2

Downhill

A negative slope goes ___________.

Uphill

A positive slope goes __________.

-1/2

Find the slope of the line.

-3/2

Find the slope of the line.

-5/2

Find the slope of the line.

-8/3

Find the slope of the line.

2

Find the slope of the line.

5/3

Find the slope of the line.

-1

Find the slope.

1/2

Find the slope.

3

In the coordinate (3 ,2), the x-coordinate is:

7

In the coordinate (6, 7), the y-coordinate is:

They start out 1,000 miles away from their destination.

Interpret the y-intercept.

y = 1.5x + 5

Lin is tracking the progress of her plant's growth. Today the plant is 5 cm high. The plant grows 1.5 cm per day. Write an equation to relate the total height to the number of days.

vertical line

This is a _________________ line. A. horizontal B. vertical

horizontal line

This is a __________________ line. A. horizontal B. Vertical

Negative

Type of Slope

Positive

Type of slope

Vertical Line

Undefined Slope

rise over run, stairs, up and over

Used to help find Slope

Rise

Vertical Change

y = -3x

What is the equation of the graph in slope intercept form?

y = 3/2x

What is the equation of the graph in slope intercept form?

y=½x+2

What is the equation of the graph?

-10

What is the slope in y= 2 -10x

-1

What is the slope of the equation y = -x - 14

1

What is the slope of the equation y = x - 3?

5

What is the slope of the equation" y=5x

-1

What is the slope of the equation: y = -x - 14

2

What is the slope of the equation: y =2x + 3

5/3

What is the slope of the graph?

4

What is the slope of the table?

7

What is the slope of the table?

0

What is the slope of this graph?

The slope is 4.

What is the slope of this line? Hint: RISE over RUN

The slope is undefined. We can also say this line does not have a slope.

What is the slope of this line? Hint: RISE over RUN Hint: Vertical line

The slope is ZERO.

What is the slope of this line? Hint: RISE over RUN Hint: horizontal line

0

What is the y-intercept of the equation: y=5x

-2

What is the y-intercept of the graph?

0

What is the y-intercept of the graph?

7

What is the y-intercept of the graph?

-3

What is the y-intercept of the table?

7

What is the y-intercept of the table?

y = 3x - 1

Write the equation of the graph in slope intercept form.

y = 4/3x - 6

Write the equation of the graph in slope intercept form.

x + 4y = -8

y = -1/4x - 2

12x + y = -5

y = -12x - 5

2x + 5y = 3

y = -2/5x + 3/5

2x + 7y = -21

y = -2/7x - 3

7x + 8y = 24

y = -7/8x + 3

9x + 4y = -4

y = -9/4x - 1

x + y = 0

y = -x

x + y = 5

y = -x + 5

Given m = 1/2, b = -1 write an equation in slope-intercept form

y = 1/2x - 1

x - 4y = -32

y = 1/4x + 8

11x - 7y = -9

y = 11/7x + 9/7

14x - 5y = -40

y = 14/5x + 8

3x - 11y = -23

y = 3/11x + 23/11

3x - 2y = -4

y = 3/2x + 2

3x - 4y = -8

y = 3/4x + 2

3x - 5y = -23

y = 3/5x + 23/5

Given m = 3, b = 2 write an equation in slope-intercept form

y = 3x + 2

4x - 5y = 30

y = 4/5x - 6

4x - y = 0

y = 4x

y=0.10x+35000

A salesperson receives a base salary of $35,000 and a commission of 10% of the total sales for the year. Write an equation to relate the total amount of money earned to the sales.

no slope - undefined

Find the slope of the line connecting these points.

y=40x+2

Henry attended a mandatory 2 hour training for his job. He works 40 hours per week. Write an equation to model the relationship between the number of hours he works and the number of weeks since he started his job.

Run

Horizontal Change

y=2x+40

In order to become a member of the library-all-star-members club, there is a $40 sign-up fee and a $2 monthly fee. Write an equation in slope-intercept form that models this situation.

y=20x+5

In order to join a gym, there is a $5 registration fee and a $20 monthly fee. Write an equation in slope-intercept form that models this situation.

y=4x+30

In order to join a soccer club, there is a $30 startup fee and a $4 monthly fee. Write an equation in slope-intercept form that models this situation.

y=5x+20

In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

He starts out with 254 pages to read.

Interpret the y-intercept.

y = 5x + 1.5

Mary has $1.50 in her piggy bank. She adds $5 to the piggy bank every week. Write an equation to relate the total amount of money to the number of weeks.

y = 5/3x -2

What is the equation of the graph in slope intercept form?

y= -4x+2

What is the equation of the graph?

y=-2+4x

What is the equation of the graph?

y=-4-½x

What is the equation of the graph?

y=2x-4

What is the equation of the graph?

x + 2y = 5

y = -1/2x + 5/2

x + 7y = -14

y = -1/7x - 2

Bill is repaying a $100 loan at $10 per week. Write the equation that models the amount left to pay back (y) to the weeks (x).

y = -10x + 100

On Monday morning there was 12 inches of snow on the ground. The weather warmed up. By Tuesday morning 2 inches of snow had melted. The same was true for Wednesday. The pattern continued until no more snow was left. Create an equation and a graph to show the relationship between the day and the amount of snow on the ground.

y = -2x + 12

2x + y = -7

y = -2x - 7

You are buying vegetables to make a vegetable tray for a party. You buy $10 worth of cauliflower. Then you also purchase broccoli for $0.67 per pound. Write the equation that models the amount of vegetables you can buy.

y = 0.67x + 10

Ted's piggy bank has $22 to begin with, and has an allowance of $10 per week. Create an equation to determine how much money Ted has in his piggy bank. When will he have $88?

y = 10x + 22 88=10x+22 6.6=x Ted will have $88 dollars in 6.6 weeks.

Mike has a membership at a health center. It costs him $30 to enter the health center, and an extra $10 an hour to use the racquetball court. Write an equation to represent the situation.

y = 10x + 30

The math club goes to an amusement park. Student tickets cost $15 each plus a one time entry feed of $315. Write an equation to show how many student tickets the club had to purchase. Create a "let" statement that supports your equation.

y = 15x + 315 Let x represent the number of student tickets.

From 1994 through 1997, the cost of owning and operating a car per mile increased by about 2.2 cents per year. In 1994 (year 0), it cost about 46.7 cents per mile. Write the equation that models the cost (y) of owning and operating a car per mile to the years (x).

y = 2.2x + 46.7

The US Bureau of the Census predicts that the population of Florida will be about 17.4 million in 2010 and then will increase by about 0.22 million per year until 2025. Write the equation that models the population (y) to the year since 2010 (x).

y = 220,000x + 17,400,000

Your basketball team scores 84 points by the end of the third quarter. Each basket is worth 2 points. Write the equation that models the scenario. Extension: How many baskets will your team have to score to get to 128 points?

y = 2x + 84 128 = 2x + 84 22 = x My team will have to score 22 more baskets to get to 128 points.

You are looking to buys posters. Each large poster is $6 plus $3.60 for handling fees. Write an equation to show how many posters you can buy.

y = 6x +3.60

x - y = 4

y = x - 4