Slope
Word Problems
Point Slope
Comparing
100
What is the rate of change between (1,-2) and (-4,5)?
-7/5
100
Carlo's Cleaning Company charges a $100 booking fee and charges a rate of $35 per hour. Write an equation in slope intercept form that represents this using x for the number of hours and y for the total cost.
y = 35x + 100
100
What is the equation of a line in slope-intercept form that has a slope of 4 that goes through the point (-3, 8)?
y=4x-4
100
Which function has a greater slope? y or f(x)
y=2x + 1
OR
y
200
What is the rate of change over the interval [-8,0]?
(this means to use the coordinate points when x=-8 and x=0)
-7/4
200
Maggie's enjoys dog sitting for her neighbors. She charges $25 plus an additional $10 per hour visit. If Someone booked her to visit her house 8 times, how much will Maggie earn?
$105
200
What is the equation of a line in slope-intercept form that goes through the points (-4, 9) and (3, -12)?
y=-3x-3
200
Which carnival charges more for entrance?
Carnival of Fun
*BONUS 100 points: what is this value called in context of slope-intercept form?
300
What is the average rate of change over the interval [5, 13]?
(when x=5 and when x=13) 
1/2
300
Phil joined a new gym where he had to pay an application fee of $70 and he is charged $30. If he plans to go to the gym for a full year, how much will Phil end up paying?
$430
300
What is the equation of a parallel line to y=4x+5 that goes through the point (-6, -2)?
y=4x+22
300
Which storm produced more snow after 10 hours?
January Storm
*BONUS 100 points: Which storm snowed more per hour?
400
What is the slope in the equation -2x + 4y = 16?
1/2
400
Mark paid $15 to get into the festival. He rode 9 rides and ended up spending a total of $51. How much did each ride cost?
$4
400
What is the equation of a perpendicular line to the graphed line that has the same y-intercept?
y=-3/2x-4
400
Your kitchen sink is clogged and will be 4 hours to repair. Who will be cheaper to hire for the job?
They would cost the same, $200.
500
What is the slope of a perpendicular line to 3x - 4y = 8?
-4/3
500
Polly's Pizzeria only charges $15 for a large pizza, but charges $2.50 for each topping. If Frank paid $30 for his pizza, how many toppings are on his large pizza?
6 toppings
500
What is the equation of a line perpendicular to 3x - 6y = 10 that goes through the point (4, -12)?
y=-2x-4
500
Which pool will be empty the fastest and after how many hours will it be empty?
Hotel pool: y = 25,000 - 1,000x
Hotel pool, 25 hours