Slope of a Line
-1/4
(-12, -5) (0, -8)
(5, 7), (10, 14)
7/5
Find the slope.
-1
Which of these values could be the slope of the line? Check all that apply.
7/4 3
Find the slope.
7/8
positive slope
A line that moves upward from left to right has a positive slope.
Which word describes the slope of the line?
Negative
rate of change (slope)
Show the relationship between two changing quantities in a function as the ratio of the change in the dependent variable to the change in the independent variable.
0
What is the slope of this line?
zero slope
horizontal 0/#
y=mx + b
Equation of a straight line
4/3
Slope=? (0, 0) and (3, 4)
Find the slope.
no slope - undefined
Which word describes the slope of the line?
positive
4/3
(0, 0) and (3, 4)
4/9
(1, 1) and (10, 5)
1/3
(1, 6) (-2, 5)
5/3
(5, 9) and (2, 4)
Which graph has a slope of 4/5 ?
(See Image)
What is the slope of the function?
3
-1
Find the slope.
-1/6
Find the slope.
-2
Find the slope.
-3/4
Find the slope.
13/7
Slope=? (-2, -3) (5, 10)
Steepness of a line
What does the term "Slope" refer to?
2 gal/100miles = 1 gal/50miles
What is the rate of change? (Reduce and include labels)
undefined
What is the slope of this line
undefined slope
vertical line #/0
Find the slope.
1/2
(2, 5), (6, 10)
5/4
(1, 1), (3, 4)
3/2
Find the slope.
4
0
Find the slope.
11/17
(-19, -6) (15, 16)
13/7
(-2, -3) (5, 10)
2
(-2, 3) and (-4, -1)
-1/14
(-3, 1) (-17, 2)
-1/3
(-7, 2) and (-4, 1)
-1/3
Slope=? (-7, 2) and (-4, 1)
-30
(12, -18) (11, 12)
Which function shows a fabric with a price of $1.25 per square yard?
(See Image)
What is the slope of the function?
-6
4
Find the slope.
7/8
Find the slope.
Which word describes the slope of the line?
Zero
A balloon artist creates balloon hats for children at a store's grand opening. The graph shows the number of balloons the artist has remaining, y, after creating x hats. What phrases can be used to describe the line representing the relationship between the number of balloons remaining and the number of hats created? Check all that apply.
negative slope constant slope decreasing function
slope-intercept form
y=mx+b
Vera wants to graph a line that passes through (0, 2) and has a slope of . Which points could Vera use to graph the line? Check all that apply.
(-3, 0) (3, 4) (6, 6)
80 miles/2 hours = 40 miles /1 hour
Find the rate of change (reduce answer to lowest terms) include lable
-5/4
Find the slope.
slope (unit rate/rate of change)
The ratio of the vertical change to the horizontal change of any two points on a line, and is constant.
At work, Brett must check and record the internal temperature of the freezer on an hourly basis. When working properly, the temperature should remain constant over time. What word describes the slope of a line showing the temperature of the freezer as a function of time in hours when the freezer is working properly?
The slope of the line will be zero
Which relationship has a zero slope?
(See image)
Find the slope.
-2
A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
-3/4
Find the slope.
-3/4
Find the slope.
-5/4
Line AB contains points A(4, 5) and B(9, 7). What is the slope of AB?
2/5
The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height. What is the slope of the line?
3
negative slope
A line that moves downward from left to right has a negative slope.
rise/run
A method to determine slope of a line
Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the size of the lawn in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?
Aaron's rate for mowing lawns is 0.5 acres per hour.
linear equation
An equation whose graph forms a straight line; often written in the form, y = mx + b.
Find the slope.
-1/6
Line GH contains points G(-2, 6) and H(5, -3). What is the slope of GH?
-9/7
Find the slope.
0
1/2
Find the slope.
no slope - undefined
Find the slope.
The graph represents the balance on Harrison's car loan in the months since purchasing the car. Which statement describes the slope of the line?
Harrison makes a monthly payment of $250.
Debi walks laps around the mall for exercise during the winter months. The table represents the number of steps recorded on her pedometer as she walks laps around the mall one day. Which statement is true about the graph of the line representing Debi's data?
One lap around the mall is equal to about 2,425 steps.
2
Slope=? (-2, 3) and (-4, -1)
4/9
Slope=? (1, 1) and (10, 5)
1/3
Slope=? (1, 6) (-2, 5)
5/3
Slope=? (5, 9) and (2, 4)
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water in the pool?
The height of the water increases 2 inches per minute.
