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Slope
Slope Intercept Form
Standard Form
Point Slope Form
Intercepts
100
Find the slope of the line that passes through the points (5,9) and (-5,9).
What is 0?
100
Ana is driving from her home in Miami to her grandmother's house in Dallas. On the first day, she will travel 240 miles to Orlando, to pick up her cousin. Then they will travel 350 each day. Write an equation that models the total number of miles m Ana has traveled if d represents the number of days after she picked up her cousin.
What is m=350d+240
100
Write an equation in Standard Form given a line in slope-intercept form. y=x-4/7
What is 7x + 7y = 4
100
Write the equation in point-slope form for the line that passes through each point with the given slope. (-3,-4); m=0
What is y+4=0
100
Find the x- and y-intercepts for the following equation 2x + 3y = 12
What is x-intercept 6 and y-intercept 4?
200
Emily earns extra spending money by tutoring her fellow classmates. On Tuesday, she earned $16 for tutoring for 2 hours. On Saturday, she earned $40 for tutoring for 5 hours. Let x represent hours and y represent the amount earned. Find the rate of change.
What is 8/1?
200
Currently, there are 2000 toads in Bastrop count. The toad population has been decreasing at a rate of 200 toads per year. Write an equation for the toad population, p, in t years.
What is p=-200t+2000?
200
Write an equation in Standard Form given a line in slope-intercept form. y=7/10 x + 4/5
What is 7x – 10y = -8?
200
Write an equation in point slope form for a line that passes through (4,1) and (0,-3).
What is y-1=x-4 or y+3=x?
200
Find the x- and y-intercept of the following equation. 3 + 0.4x = 9y
What is x-intercept -7.5 and y-intercept 1/3?
300
A Realtor estimates the median price of an existing single-family home in Cedar Ridge is $221,900. Two years ago, the median price was $195,200. Find the average annual rate of change in median home price in these years.
What is $13,350?
300
Wade’s grandmother gave him $100 for his birthday. Wade wants to save his money to buy a new MP3 player that costs $275. Each month, he adds $25 to his MP3 savings. Write an equation in slope-intercept form for x, the number of months that it will take Wade to save $275
What is 275=25x+100?
300
The perimeter of a square varies directly with its side length. The point-slope form of the equation for this function is y - 4 = 4(x - 1). Write the equation in standard form.
What is 4x-y=0?
300
Geoff paddles his canoe at an average speed of 3.5 miles per hour. After 5 hours of canoeing, Geoff has traveled 18 miles. Write an equation in point-slope form to find the total distance y for any number of hours x.
What is y-18=3.5(x-5)?
300
You are downloading a song. The percent y (in decimal form) of megabytes remaining to download after x seconds is y = −0.1x + 1. Interpret the x-intercept.
What is the number of seconds when you have finished downloading?
400
The SheiKra roller coaster at Busch Gardens in Tampa, Florida, features a 138-foot vertical drop. Find the slope of the coaster track at this part of the ride.
What is undefined?
400
Angie’s mother wants to take some adult education classes at the local high school. She has to pay a one-time enrollment fee of $25 to join the adult education community, and then $45 for each class she wants to take. Write an equation to represent the cost, y, of take x classes.
What is y=45x+25?
400
Louise has $36 in five-dollar bills and singles. How many of each type of bill does she have? Write an equation.
What is 5x+y=36?
400
A construction company charges $15 per hour for debris removal, plus a one-time fee for the use of a trash dumpster. The total fee for 9 hours of service is $195. Write the point-slope form of an equation to find the total fee y for any number of hours x.
What is y - 195 = 15(x - 9)?
400
You are running for class president and have $48 to spend on publicity for your campaign. It costs $2 to make a campaign button and $1.20 to make a poster. Write an equation that represents the different numbers of buttons, x, and posters, y, that you could make. Find the x- and y-intercepts.
What is x-intercept 24 and y-intercept 40?
500
Find the slope of the line that passes through (7/3, 4/3) and (-1/3, 2/3).
What is 1/4?
500
A company sold 3305 apps in the first week of availability. Suppose, on average, they expect to sell 25 apps per hour. Write an equation for the number of apps A sold t weeks after the first week of availability.
What is A=4200t+3305?
500
Your class is taking a trip to the public library. You can travel in small and large vans. A small van holds 8 people and a large van holds 12 people. Your class could fill 15 small vans and 2 large vans. Write an equation in standard form that models the possible combinations of small vans and large vans that your class could fill.
What is 8s + 12l = 144?
500
There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. It costs $64 to rent the truck on a day when it is driven 48 miles. Write the point-slope form of an equation to find the total charge y for a one-day rental with x miles driven.
What is y - 64 = 0.5(x - 48)?
500
Matt sells used books on the Internet. The cost of the weekly website fee is $7.50, and he earns $1.50 on each book that he sells. Matt uses the linear equation y = 1.5x - 7.5 to figure his weekly earnings where y = earnings in dollars and x = the number of books that he sells. Interpret the y-intercept.
What is what Matt owes if he sells no books?