Alg 3.5 Slope-Intercept Form Applications
NAME __________________________
Learning Objective: A.SSE.2 I will rewrite a linear function into slope-intercept form
A.CED.2
I will write the equation of a line from a given graph in slope-intercept form
A.REI.10
I will graph a linear function and show that the points on the graphs are solutions
F.IF.2
I will evaluate a function in slope-intercept form for a specific value
F.IF.4
I will graph a function using slope and y-intercept
F.IF.7
I will graph a linear function using slope and y-intercepts
F.IF.8
I will convert standard form to slope-intercept form
F.BF.1
I will write a linear function from a graph into slope-intercept form
F.LE.2
I will write a linear equation into slope-intercept form from a graph
Write the equation of each line in slope-intercept form. y = mx + b
1.
2.
3. Explain HOW you would graph the line y  
2
x  1.
3
Write an equation of a line in slope-intercept form with the given slope and y-intercept. y = mx + b
4. slope: 5, y-intercept –4
5. slope: –3, y-intercept 6
6. slope: 3, y-intercept 10
7. Write an equation of the line in slope-intercept form if it has a y-intercept of 3 and the same slope
2
as the line with the equation y   x  2 .
3
8. Since 1999, the number of music cassettes sold has decreased by an average rate of 27 million
per year. There were 124 million music cassettes sold in 1999.
a) Write a linear equation to find the average number of music cassettes sold in any year after
1999.
b) Find the approximate number of music cassettes sold in 2003.
9. Randall is buying a new stereo system for his car using a layaway plan.
a) Write an equation for the total amount S that he has paid after
w weeks.
b) Find out how much Randall will have paid after 8 weeks.
10. 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 m, the number of months that it will take Wade to save $275.
11. Ana is driving from her home in Miami, Florida, to her grandmother’s house in New York City. On
the first day, she will travel 240 miles to Orlando, Florida, to pick up her cousin. Then they will
travel 350 miles per day.
a) Write an equation for the total number of miles m that Ana has traveled after d days.
b) It is 1293 miles from Miami to New York City. How long will the drive take? Round to the
nearest whole number.
12. In 1991, 1267 manatees inhabited Florida’s waters. The manatee population has increased at a
rate of 123 manatees per year.
a) Write an equation for the manatee population, P, t years since 1991.
b) In 2006, the manatee was removed from Florida’s endangered species list. What was the
manatee population in 2006?
13. For Illinois residents, the average tuition at Chicago State University is $157 per credit hour. Fees
cost $218 per year.
a) Write an equation is slope-intercept form for the tuition T for c credit hours.
b) Find the cost for a student who is taking 32 credit hours.
1
x
2
Write the equation of the line in slope-intercept form
Answers: 1) y 
and then graph it.
3) From the origin, go up 1 and put a big dot.
Then from that dot go down 2 and right 3.
Repeat to get a third dot. Connect the
dots with a straight line with arrows.
14. slope: 3, y-intercept: –4
5) y = –3x + 6
7) y 
2
x3
3
9)a) s = 10w + 75 b) 10(8) + 75 = $155
11)a) m = 350d + 240 b) 1293 = 350d + 240
11)b) 3 days
13)a) T = 157c + 218
b) $5242