What is the constant of proportionality?
k = 3
What is the equation for a linear relationship?
y = mx + b
The graph represents two runners. Which runner is faster?
Runner A
What does the b stand for in the equation y=mx+b. No abbreviations!
y intercept
All proportional equations are in this form.
y=kx
Is this graph proportional?
Yes!
In 2010 I have $600 in a savings account
In 2012 I have $750 in a savings account
In 2014 I have $900 in a savings account
In 2016 I have $1050 in a savings account
What is the slope of this situation?
$75
What is the slope of this graph?
0
Write an equation for the scenario,
My grade is a 75% and it increases 3% per week
y = 3x + 75
All linear, nonproportional equations are in this form.
y=mx+b
What is the unit rate?
$1.25 per (1) pound
Represent the table as an equation.
y = 3x + 1
What is the equation of this graph?
y = -2/3x +5
Use the equation y = 3x + 10 to fill in a table. Let x range from -1 to 4
x y
-1 7
0 10
1 13
2 16
3 19
4 22
Represent this table as an equation.
y = 1/4x or y=.25x
Represent the table as an equation
y = -.5x + 1
A line has lattice points at (1, 6) and (5, 28). What is the slope? *decimal or simplified fraction
5.5 or 11/2
Write an equation for the scenario,
The entrance fee for Mountain World theme park is $20. Visitors purchase additional $2 tickets for rides, games, and food.
y = total cost and x = number of tickets.
y = 2x + 20
Is this table proportional or non proportional?
Proportional
What is the rate of change for this graph?
1/6
Copy and fill in the table
x y
4 -4
8 0
12 4
16 8
20 12
A line goes through the points (10, 0) and (11, -5)
What is the equation of the line?
y = -5x + 50
A graph is represented by the equation y = -5x + 12. What is the y value when x = 6?
y = -18
Is this table proportional or nonproportional?
Nonproportional