Proportional Relationships
True or False: A proportional relationship must pass through the origin.
True
What point does every proportional graph pass through?
(0,0)
What is the formula for the slope?
y2-y1/x2-x1
What does the y-intercept represent in a real-world problem?
Starting value
In y=mx+b, What does the M stand for?
How does the constant of proportionality of 5 look like in a equation with no y-intercept.
y=5x
If a graph is steeper, what does that say about the rate?
A line is rising left to right. What type of slope is it?
Positive
If slope= -3 on a debt graph, what doe the - 3 mean?
She pays back 3$ each week
In y=mx+b, is X the dependent or independent variable
dependent
In a proportional relationship the unit rate is also known as______
The slope
From a graph, how can you find how many flowers(y-axis) get for 10 packets(x-axis).
Find x=10 and read the y-value
Find the slope between (10,1) and (1,2)
-1/9
In sadie's garden graph, how can you tell if she gets the same number of flowers per packet?
The graph is a straight line.
A membership cost $10 per month with a $25 fee. Write the equation.
y=10x+25
y=2x
If 50 seed packets give 400 flowers, what is the rate of flowers per packet?
8 flowers per packet
Nora owes less every week. What kind of slope does the graph show?
Negative
A graph intercepts the y-axis at 25. What part of the equation is this representing in Y=MX+B
B=Y- intercept
A line has a slope of 2 and y-intercept of -5. What is the equation?
y=2x-5
Which is better: A company that charges $24.50 per cubic yards or one that charges $28 per cubic yard.
$24.50 per cubic yard
A graph shows 0 seed packets = 0 flowers and has a constant slope. Is it proportional or non-proportional?
Proportional
If a graph shows a vertical drop of -6 and horizontal run of 2, What is the slope?
-3
It's increasing or decreasing faster depending on the directions
Slope = 1/3 and the line goes through (0,7). What is the equation?
y=1/3x+7