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Word Cloud
Slope / Y-interceptKey Words / Definition
Slope
Y – Intercept
(starting point)
Guided Example
Example 1. Suppose the total cost, C, of renting a car is $25 per day plus an initial fee of $100. Write an equation that best describes this relationship ifd represents the number of days the car is rented.m =
b=
What is the meaning of the slope?
What is the meaning of the y-intercept?
Equation: ______ / Example 2a. The Simmons family is planning a trip to Disney World. The trip for the entire family will cost $4000. They are going to save $500 every month. Write an equation to represent how much money have left to save, with t representing the number of months they have been saving and s standing for how much money the Saenz’s need to save.
m =
b =
What is the meaning of the slope?
What is the meaning of the y-intercept?
Equation: ______
2b. At 9 months, how much money does the family have left to save? What does this represent?
We Do – Writing Equations from verbal descriptions.
Example 3. A plane heading into DFW airport begins its descent from 20,000 feet above the ground. The plane is descending at a rate of about 500 feet per second. Write an equation to show how long it will take for the plane to land?m =
b =
What is the meaning of the slope?
What is the meaning of the y-intercept?
Equation: ______ / Example 4.Carter sells sports videos to local businesses in his area. His daily wage, W, is based on the number of hours he works, H, at the minimumwage of $7.25 per hour, plus $10 to cover gas and lunch expenses. Write an equation that best describes this relationship?
m =
b =
What is the meaning of the slope?
What is the meaning of the y-intercept?
Equation: ______
You DoComplete ____8____
1. Emma has made it a goal to run at least 30 miles every week. Write an equation to show how many miles, m, Emma will run each week, w.m =
b =
Meaning of slope?
Meaning of y-intercept?
Equation______ / 2. Find the slope of a line that passes through the points (4,3) and (-2,1) / 3. Ms. Garey is purchasing a new refrigerator that costs $1500. The cost of electricity to run the refrigerator is estimated to cost $300 per year. Write an equation to represent c, the total cost of the refrigerator including electricity over n years of operation.
m =
b =
Meaning of slope?
Meaning of y-intercept?
Equation______
4. Angelina rents a bounce house for a birthday party for a delivery fee of $100 plus a rental fee of $20 per hour. Write an equation to represent the total charge.
m =
b =
Meaning of slope?
Meaning of y-intercept?
Equation______ / 5. Find the slope of the table below.
What would be the y-intercept of this line? / 6. At the beginning of the school year, Woodrow teachers have about 560,000 sheets of copier paper to use. If about 2400 sheets of paper are used each day during a school year, write an equation that best describes s, the number of sheets that are left after d, days of school?
m =
b =
Meaning of slope?
Meaning of y-intercept?
Equation______
Challenge! How many days would the paper last
7. The distance from Abilene to Amarillo is about285 miles. Write an equation to describe the remaining distance to Amarillofor a car that travels from Abilene at a rate of
50 miles per hour.
m =
b=
Meaning of slope?
Meaning of y-intercept?
Equation______ / 8. The temperature in degrees Fahrenheit Fis the sum of the temperature in degreesCelsius C and the constant 32. Write an equation to represent the degrees in Fahrenheit.
m =
b =
Equation______ / 9. Lauren is saving money. She has $75 already. Each week her mom gives her $15 for lunch, but she only uses $11. Write an equation to show how much money she has.
m =
b =
Meaning of slope?
Mean of y-intercept?
Equation______