Intercepts
Slopes
Slopes Continued
y=mx+b
Word Problems
100
What is the y intercept of y=4x-7? You must answer in coordinate form.
(0,-7)
100
What is the slope of the line y=-4x+1?
slope=-4
100
What is the slope of a line that runs through points: (-2,5) and (1,7)?
2/3
100
Rewrite in y=mx+b form
x+y=-15
y=-x-15
100
In 1995, Orlando, Florida, the population was about 175,000. At that time, the population was growing at a rate of about 2000 per year. Write an equation, in slope-intercept form to find Orlando’s population for any year.
y=2,000x+175,000
200
What is the x intercept of 4x-2y=16? Must answer in coordinate form.
(4,0)
200
What is the slope of this line? 
3
200
Rewrite in y=mx+b form
y-4=-3(x-3)
y=-3x+1
200
Marty is spending money at the average rate of $3 per day. After 14 days he has $68 left. What is the y intercept of the equation described by this line and what does it represent?
110 and it describes how much money Marty started with.
300
In words, what is the x-intercept of a line on a graph?
When the line crosses the x axis
300
What is the slope of the line 7x+3y=2
Slope: -3/7
300
What is the slope of this linear equation?
2x-4y=12
slope = 1/2
300
Rewrite in y=mx+b form
1/4 y+3=-5x
y=-20x-12
300
You have decided to purchase a new Honda for 25,635. You have promised your daughter that the car will be hers when the car is worth 10,000. According to your car dealer, the SUV will depreciate in value approximately $3000 per year. Write a function of time(x) that will describe the price (y) after x years.
y=-3000x+25635
500
What is the y intercept of the line described by this scenario. Answer in coordinate form.
(0,2)
500
What is the slope of a line perpendicular to the line with the equation 3y+2x=6
3/2
500
Rewrite in y=mx+b form
y-1/3x=2/3(x+3)
y=x+2
500
Biologists have found that the number of chirps some crickets make per minute is related to temperature. The relationship if very close to being linear. When crickets chirp 124 times a minute, it is about 68 degrees Fahrenheit. When they chirp 172 times a minute, it is about 80 degrees Farenheit. Find an equation of the line that models this situation. Write x as temperature and y as crickets.
y=4x-148