Slope Formula
How do you find the slope from two points? (What is the slope formula)
y2 - y1 / x2 - x1
At 10 years old Frank weighed 100 lbs. At 20 years old Frank weighed 210 lbs. What is the rate of change in his weight from 10 years old to 20 years old?
11 lbs.
What quadrant is (4,2) in?
Quadrant 1
4/5 is what type of slope? (positive, negative, zero, undefined)
Positive
What point is the y-intercept (5,4) or (0,8)
(0,8)
Rise over
run
The population of Kauai was 67,091 in 2010 and 73,298 in 2020. Find the rate of change in population.
(2010, 67091) (2020, 73298)
620.7 = 621 (you can't have .7 of a person)
What quadrant is (2, -6) in?
Quadrant 4
What type of slope is -2/5?
Negative Slope
How do you know where the y-intercept is when looking at a graph?
Where the line crosses the y-axis
Find the slope given these two points (4,2) & (3,1)
1
Ten minutes into her workout, Laura had burned 98 calories. Twenty-five minutes in, she had burned 272 calories. Find the rate of change in calories burned between ten and twenty-five minutes.
174/15 = 11.6 calories
Are (-4,-2) and (-5, 2) in the same quadrant? If so, what quadrant?
They are in different quadrants. No
What does a zero slope line look like?
What can the y-intercept tell you?
Where something initially starts
Find the slope (0,6) & (-8,-4)
-10/-8 = 5/4
An airplane is flying at an altitude of 36,000 feet when it begins it's descent for landing. Twelve minutes into its descent, its at 29,400 feet. Find the rate of change in altitude.
-6600/12 = -550 feet
The numbers in quadrant 3 are both _________
Negative
4/0 is what type of slope?
Undefinded
4/6 = 2/3
Lee started a savings account with $500. After 6 months, her savings account balance was $731. Find the rate of change
231/6 = $38.50
The numbers in quadrant 1 are both _________
Positive
When looking at the slope you read the graph from ________ to _________ to determine if it is positive or negative.
Left to right