Graphs
Tables
Slope
Intercepts
Word Problems
100
Graph y=1/2x+4
y-intercept (crosses y-axis) at 4
plot next point by going up 1 right 2
100
What is the slope of the table?
2
100
What is the slope of the line...
y=4/5x+7
4/5
100
Write the x and y intercepts of the graph.
x-intercept: (2,0)
y-intercept: (0,3)
100
Ms. Michael walked into the carnival with $100. She won $3 for every game she played.
Write an equation that represents this situation.
Write what the slope and y-intercept mean in the context of this problem.
x = number of games, y = total amount of money
y = 3x + 100
slope is the amount she wins per game
y-intercept is the amount of money she started with
200
Write the equation of the graph in slope-intercept form.
y=2/3x -4
200
What is the y-intercept?
(0,2)
200
What is the slope of the line...
y-4=-3(x+9)
-3
200
What are the x and y intercepts of the table?
x-intercept: (3,0)
y-intercept: (0,2)
200
Allie has $50 in starbucks gift cards. Everyday she spent $5 on each coffee.
Write an equation that represents this situation.
Write what the slope and y-intercept mean in the context of this problem.
x = number of coffees, y = amount of money left on gift card
y = -5x + 50
slope is the amount of money per coffee
y-intercept is the amount on the gift card
300
Write the equation of the line in point-slope form.
slope=3/5
any point on line
example: y+2 = 3/5(x-3)
300
Write the equation of the table in point-slope form.
slope = 2
use any point
example: y-13 = 2(x-5)
300
What is the slope of the line with the two points...
(-1, 5) and (7, -11)
-2
300
Find the x and y intercepts of the line:
2x+5y=20
x-intercept: (10,0)
y-intercept: (0,4)
300
Ms. Michael has a 300 gallon pool in her backyard. Before the winter, she drains the water out of the pool at 15 gallons per minute.
Write an equation that represents this situation.
Write what the slope and y-intercept mean in the context of this problem.
x = number of gallons, y = amount of water in pool
y = -15x + 300
slope is the rate at which the water is being drained
y-intercept is the starting amount of water in the pool
400
Graph y=-3x-4
y-intercept (crosses y-axis) at -4
plot next point by going up 3 left 1
400
Write the equation of the table in point-slope form.
slope = -3
use any point on the table
example: y-14 = -3(x+4)
400
What is the slope of the line with the two points...
(3, -4) and (0, -6)
2/3
400
Find the x and y intercepts of the line:
3x+4y=24
x-intercept: (8,0)
y-intercept: (0,6)
400
Jessica currently has $25 in her savings account. She just got a job as a waitress and makes $21 an hour.
Write an equation that represents this situation.
Write what the slope and y-intercept mean in the context of this problem.
x = number of hours worked, y = amount in savings account
y = 21x + 25
slope is the amount she's making per hour
y-intercept is the amount of money she starts with
500
Write the equation of the line.
y=-3/2x+3
500
Write the equation of the table in point-slope form and slope-intercept form.
slope = 3
point-slope form example: y+7=3(x+2)
slope-intercept form: y = 3x -1
500
What is the slope of the line...
2x+6y=-18
-1/3
500
Find the x and y intercepts of the line:
6x+2y=36
x-intercept: (6,0)
y-intercept: (0,18)
500
Ms. Michael spent a total of $50 at the store. She bought apples for $2 per pound and strawberries for $5 per pound.
Write an equation that represents this situation.
Write what the x and y-intercepts mean in the context of this problem.
x = pounds of apples, y = pounds of strawberries
2x + 5y = 50
x-intercept is the pounds of apples she bought if she bought 0 pounds of strawberries
y-intercept is the pounds of strawberries she bought if she bought 0 pounds of apples