Find Slope
Proportionality
Solve for Y
Graph equations
Write equations
100
The equation is y=3x+4
m = 3
100
If this is a proportional relationship?
Yes! It is a straight line through the origin.
5 gallons of water is used every minute.
k = 5 and y=5x
100
y - 3 = -5x
y = -5x + 3
100
Explain how you would graph y = 3x
Start at origin. Go up 3 and right 1
OR
Start at origin. Go down 3 and left 1.
100
Write an equation for this line:
y = 1/2 x + 3
200
Find slope:
m = 1/2
200
Is this a proportional relationship?
Yes, this person gets paid $12 an hour.
So, k = 12 and y = 12x
200
3y=-2x+12
y = -2/3 x + 4
200
Explain how you would graph y = -5
Draw a horizontal line through (0, -5)
200
Write an equation for the line that passes through these two points: (0, 3) and (2, 7)
y=2x+3
300
Find the slope: (3, -5) and (-1, -5)
m = 0 (Slope of zero is horizontal line.)
300
Write an equation in the form of y = kx for this proportional relationship:
y = 15x
300
x - 4y = 16
y = 1/4 x - 4
300
Explain how to graph y = -4 x + 2
Start at (0, 2). Go down 4 and right 1.
OR
Start at (0, 2). Go up 4 and left 1.
300
Write an equation for this linear relationship:
y = -2x + 4
400
Find the slope:
m = 2
400
Write an equation in the form of y = kx for this graph:
y = 2x
400
3x + 2y = 9
y = -3/2 x + 9/2 OR y = -3/2 x + 4.5
400
Explain how to graph y = 3/4 x + 1
Start at (0, 1). Go up 3 and right 4.
OR
Start at (0, 1) Go down 3 and left 4.
400
Write an equation for this situation:
Marcy started with $225 in her saving account and deposited (put money into her account) $15 each week.
y = 15x + 225
500
Find the slope: (8,-3) and (-3,4)
m = -7/11
500
Write an equation for this proportional relationship:
A family went apple picking and paid $21.00 for 5 pounds of apples.
y = 4.2x
500
3x + 5y = 0
y = -3/5 x
(The y-intercept it zero. The line goes through the origin)
500
Explain how to graph x = -4
Draw a vertical line through (-4, 0)
500
This equation represents how many hours (h) a person spends playing video games each week (w).
h = 21w
If a person spent 168 hours playing video games, for how many weeks have they been playing?
8 weeks
(Plug 168 in for h and solve)