SLOPE
Equations
Form
Graphs
Patterns
1
What is another word for "rate of change?"
Slope
1
How do we know which value is the slope in an equation?
It is the coefficient (number) in front of the x.
1
What form is this equation?
(slope-intercept, point-slope, standard)
6x + 8y = 96
standard form
1
What is another way to describe the starting point?
initial value
y-intercept
1
Find the common difference 11, 16, 21, 26
+5
2
How does one find the slope of a graph?
m=(y-y)/(x-x)
Change in y over change in x.
Look for the pattern of
(rise)/(run)
2
In the given equation, what is the y-intercept?
y = 1/2x + 3/4
3/4
because the slope has the x.
2
What is the slope of a line with equation
3y = 12 - 6x
slope: -2
2
LOOK at GRAPH #2
In a short phrase, explain the meaning of the point
(0, 70).
AT hour 0 minutes of exercise, the heartbeat was at 70 beats.
2
Find the next three terms in the sequence:
25, 50, 75, 100, ...
125, 150, 175
3
What does the initial value or one time fee represent in a word problem?
It represents the y- intercept.
3
In the given equation, what is the given point?
y-7=-2(x+5)
(x, y)
(-5, 7)
3
What are the x and y intercepts of a line with equation
x + 2y = 12 ?
x-intercept: (12, 0)
y-intercept: (0, 6)
3
LOOK at GRAPH #3
What is the slope from hour 3 to hour 5?
+50/2
25
3
Michael has $500 in his account. If he earns $50 per day working for his dad what is an EXPRESSION to represent how much money he will have as days go by?
500 + 50x
4
What is the slope of a line PARALLEL to the line
y= -4x + 8 ?
the same -4
4
Which equation has PURE slope, called undefined?
y=8
y=8x + 0
x=8
x=-8 + y
x=8
4
What is the average rate of change from the table between 1 second and 3 seconds?
+20/2
10 mps
4
LOOK at GRAPH #1
What is the rate of change from 40 minutes to 50 minutes?
+20/10
2 feet per minute
4
Find the slope between the following points:
(-5, -6) and (-12, 22)
-28/7
-4
5
What is the Rate of Change (slope/pattern)?
Slope = 1
5
What is the slope of a line that passes through the points (1, -9) and (6, -10)?
( 1, -9)
+5 -1
(6, -10)
slope: -1/5
5
What is the initial value (y-intercept) of a line with equation 2x + 4y = 16?
2x + 4y = 16
4y = 16 - 2x
y = 4 - 1/2x
4 or (0, 4) is the y-intercept
5
LOOK at GRAPH #2
What is the equation for the line shown from 10 minutes to 30 minutes?
y = 110
zero slope. No slope, no x.
5
What is the common difference?
-3, -7, -11, -15, ...
-4