Writing Linear Equations
Graphing
Slope
Direct Variation / Rate of Change
Misc.
100
Write a linear function with a slope of -9 and a y-intercept of (0,5).
y =-9x+5
100
Identify the slope and y-intercept from the graph on the whiteboard.
m = 5
y-intercept: (0, -3)
100
Identify the slope of the linear equation
y = -x + 6
The slope is -1
100
Find the rate of change of the line with the following table of values:
x: -3 0 12
y: -4 -2 6
2/3
100
Is the point (3,5) a solution to the inequality y > 2x - 1?
No
200
Write a linear equation with the table of values
x: -1 0 5 8
y: -10 -7 8 17
y=3x-7
200
Graph the function
y = 6/7x+4
on your calculator.
See whiteboard
200
Find the slope from the table below.
x: -1 2 5 8
y: -2 7 16 25
3
200
Find the rate of change from the graph on the whiteboard.
5/2
200
Write the inequality that represents the graph.
(see whiteboard)
y > -4x - 2
300
Write the linear equation of this graph:
y=20x-15
300
Graph the function y = 4x - 3 on the coordinate plane WITHOUT using your calculator.
See whiteboard
300
Find the slope of the line:
1/2
300
A runner is tracking their progress during a race. After 3 hours, they have covered 12 miles. After 7 hours, they have covered 22 miles. What is the average rate of change in the runner's speed?
2.5 mph
300
Write the equation of the line that passed through the point (3, 7) and has a slope of 9.
y - 7 = 9(x - 3) OR y = 9x - 20
400
A tennis club charges $100 to join the club and $10 for every hour using the courts. Write an equation to express the cost C of playing tennis for h hours.
C = 10h + 100
400
The equation y = x - 7 is the boundary of a given linear inequality. The following points are solutions to the inequality. Graph the inequality on the coordinate plane.
x: 7 0 -2
y: 0 6 -3
See the whiteboard: y ≥ x - 7
400
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
400
The cost of a package of shredded cheese (y) is directly proportional to its weight in pounds (x). A 2-pound package costs $5. Write a direct variation equation to represent this situation.
y = 2.5x
400
Write the equation of the line that passes through (7,8) and (8,10) in standard form.
y - 8 = 2(x - 7) OR y - 10 = 2(x - 8)
500
Rewrite the standard form equation in slope-intercept form -5x + 3y = -15
Slope intercept form
y = (5/3)x - 5
500
Hikers are tracking the distance they travel. Before they begin hiking, they travel on a bus 10 miles into the wilderness. After 1 hour, they have walked 3 more miles. After 4 hours, they have walked 12 miles. Graph the equation that models the total distance, y, the hikers have traveled after x hours.
See whiteboard: y = 10 + 3x
500
What is the slope of the equation
y - 7 = 6/7(x+9)
m = 6/7
500
The cost of renting a bicycle is directly proportional to the number of hours it is rented. If 3 hours of rental costs $9, how much would 5 hours of rental cost?
It would cost $15 to rent the bike for 5 hours.
500
Graph the function 2x - 6y = 24 on the coordinate plane.
See whiteboard:
y = x/3-4