SLOPE
What does the slope of a line represent in a proportional relationship?
The unit rate or how much y changes for every 1 change in x.
Which equation represents a proportional relationship: y = 3x or y = 3x + 5?
y=3x
On a graph, how can you tell if two variables are proportional?
If the line passes through (0,0)
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What’s the equation of a line through the origin with slope 3?
y=3x
A line passes through (0,0) and (3,6). What’s its slope?
M=2
Two people earn money at rates of $12/hr and $15/hr. Who has the steeper slope? Explain
The person earning $15/hr; greater slope = greater rate of change.
On the graph y=4.5x+12, what's the slope?
m=4.5
What does “rise over run” mean?
slope; Rise = vertical change; Run = horizontal change
what's the slope of a line parallel to y=3x
m=3
If a line rises 4 units for every 2 units it runs to the left, what’s the slope?
M=-2
Compare these: Graph A shows a slope of 2; Table B shows that y increases by 3 when x increases by 1. Which is steeper? explain
Table B ; slope = 3 is steeper than 2.
The graph of y = 3x + 2 crosses the y-axis at what point?
(0,2)
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if I hehe-ed then you get the points
what's the slope of a line that's perpendicular to y=3x?
m=-1/3
True or False: The slope of a proportional relationship always goes through the origin. Explain.
True; proportional relationships always start at (0,0).
If y = 4x and y = 2x, which line is steeper? Describe the difference.
y = 4x is steeper because its slope (4) is greater.
You have points (1,2), (2,4), (3,6). What’s the equation?
y=2x
Points A(1,2), B(3,6). Find the slope
M=2
what sports did Ms. Garcia play in high school? (name at least two)
basetball, volleyball, cheer, & track and field
Give me a linear equation that gives me a slope of undefined
x = -2
Explain how you can tell two relationships are proportional using only a table.
All ratios m=y/x are constant, and it includes (0,0).
FREE POINTS
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7 🤪