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Slope and Slope Intercept Form, proportional relationships and linear functions
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Terms in this set (52)
Slope
Y-intercept
-2
What is the y-intercept of the graph?
7
What is the y-intercept of the graph?
7
What is the y-intercept of the table?
-3
What is the y-intercept of the table?
7
What is the slope of the table?
4
What is the slope of the table?
3
What is the y-intercept of the equation:
y= 2x + 3
0
What is the y-intercept of the equation:
y=5x
2
What is the slope of the equation:
y =2x + 3
5
What is the slope of the equation"
y=5x
0
What is the y-intercept of the graph?
y = -3x
What is the equation of the graph in slope intercept form?
y = 3/2x
What is the equation of the graph in slope intercept form?
-1
What is the slope of the equation:
y = -x - 14
y = 5/3x -2
What is the equation of the graph in slope intercept form?
-2
What is the y-intercept of the graph?
5/3
What is the slope of the graph?
They travel 65 miles an hour toward their destination.
Interpret the slope.
They start out 1,000 miles away from their destination.
Interpret the y-intercept.
He reads 40 pages per hour.
Interpret the slope.
He starts out with 254 pages to read.
Interpret the y-intercept.
y = 3x - 1
Write the equation of the graph in slope intercept form.
y = 4/3x - 6
Write the equation of the graph in slope intercept form.
Rise over Run
Slope
Rise
Vertical Change
Run
Horizontal Change
rise over run, stairs, up and over
Used to help find Slope
Negative
Type of Slope
Positive
Type of slope
What is slope in words?
Rise/Run
Describe positive slope in words and draw a picture
goes up to the right (up-hill)
Describe negative slope in words and draw a picture
goes down to the right (down-hill)
Describe the kind of line undefined slope would make and draw a picture
vertical line
What is the equation of a proportional relationship?
y = mx or y=kx
What is the constant of proportionality a ratio of?
y/x
What is slope intercept form of a line?
y=mx + b
Define y-intercept
point where the line passes through the y-axis
a line the goes up to the right, has what type of slope?
positive slope
A line that goes down to the right, has what type of slope?
negative slope
What does the "m" mean in the equation y = mx + b?
slope
What does the "b" mean in the equation y = mx + b?
y-interecpt
When plotting the y-intercept, which way do you go on the coordinate plane?
up or down
A linear equation makes what shape?
a line
What do you call y = mx + b?
slope intercept form
How many points do you need to graph a line (to put in STAT Edit)?
2
How do you find the unit rate of a table?
find the ratio of y/x
or
Pick two points, put in STAT edit and find the slope
How do you find the unit rate of an equation?
in the form of y = mx, it is the m
How do you know if a graph is proportional?
it is a straight line, passing through the origin
How do you know if a table is proportional?
all the ratios are equal
or
b (the y-intercept) is zero
How do you know if an equation is proportional?
it is in the form of y = mx or y=kx
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