Definitions
The point on the y-axis
What is the y-intercept?
You drive into the distance with your friend in your new Ferrari. So far you've already gone 50 miles, and the speed limit is 60 MPH. If x represents the number of hours you travel with your friend, write an equation to find out how many miles you will travel in two hours.
What is y= 60x+50 ANSWER: 170 mi
slope: 6, y-intercept: (0,-7)
What is y = 6x - 7 ?
(8,10) and (3,6)
What is 4/5 ?
The variable that represents the rate of change, slope.
What is m?
Timmy is always losing his money. At the beginning of the week, Monday, his parents gave him $60 for his allowance. He lost $5 per day. Write an equation, and find out how much money Timmy will have left after 5 days.
What is y = -5x + 60 ANSWER: $35
slope: 30, y-intercept: (0,60)
What is y = 30x + 60 ?
(12,5) and (13,2)
What is -3/1 or -3 ?
The variable that represents the y-intercept, (0,___)
What is b?
Donna, who texts all the time, has a cell phone plan of $40 each month. Each text she sends is $0.50. If x represents the number of texts she sends, what is her total monthly bill if she sends 50,000 texts, write an equation
What is y=.50x+40 ANSWER: $25,040
slope: -6, y-intercept: (0,2)
What is y = -6x + 2
(10,7) and (15, 10)
What is 3/5?
The term for rate of change when graphing a linear function
What is slope or rise over run or change in y over change in x ?
A video game rental shop charges $20 for a rental card plus $4 per rental. Write an equation for this situation.
What is y = 4x + 20 ?
slope: 70, y-intercept: (0,100)
What is y = 70x + 100 ?
(20,14) and (6, 17)
What is -3/14?
the art of plotting two different points on a line that makes a triangle, and can be done with different points; but all points must have the same rate of change
What is similar triangles and slope?
An airplane is at an altitude of 30,000 feet and descends at a rate of 400 feet per mile. Write the equation for this scenario, and find the airplane's altitude after traveling 13 miles.
What is y = -400x + 30,000 ? ANSWER: 24,800 feet
slope: 4, y-intercept: (0,-6)
What is y = 4x - 6 ?
(160,80) and (120, 60)
What is 20/40 or 1/2?