Linear Forms
What is the slope intercept form?
y = mx + b
How do you find slope from a graphed line?
rise/run or y-y/x-x
Write an equation that is parallel to y=2x-1 and goes through point (2,-5).
y = 2x - 9
In DESMOS, how can you determine the mean or average of a set of numbers?
1) make a table, then type mean(x1)
2) add all numbers and divide by how many numbers you added
Which has a larger variance?
Set 1: 2.50, 3.75, 5.50, 4.75, 13
Set 2: 1.04, 1.05, 10.9, 11.44, 8
Set 1: 17.0
Set 2: 26.4
So, set 2 has a larger variance
What is the standard form?
Ax + By = C
How do you find slope from two ordered pairs?
y-y/x-x
Write an equation that is perpendicular to y = -2/3x + 4 and goes through the point (4,5).
y = 3/2x - 1
What is the mean of 12, 6, 18, 12, 12, 0, 4, 8?
9
In DESMOS, how can you construct a boxplot?
1) make a table, then boxplot(x1)
2) type boxplot([ enter data ])
What is the perpendicular slope of y = -2/3x + 4?
3/2
Find the slope: (2,-6) and (-3,8)
-14/5
Write an equation that is perpendicular to x = 6.
y = any number
Given this data set (12, 14, 10, 8, 7, 5), what is the median?
9
You have a set of data (12, 15, 20, 18, 14). If another data point was given, 34, by how much does that affect the mean?
Original data mean: 15.8
New data mean: 18.8
Difference is an increase of 3
What is the slope in the equation 4x + 8y = 16
-1/4
What is the slope of a line that is parallel to a line that has a slope of -6/11?
-6/11
If the slope of 3x + 4y = 12 is -3/4, what is the y-intercept?
3
Given this data set (12, 14, 10, 8, 7, 5), what is the interquartile range?
12 - 7 = 5
Data set 1: (4,7,2,6,8,9)
Data set 2: (10,12,8,5,1,1)
What changes more, the mean or median?
The median is the same for both sets.
The mean increases by .17
Write this in slope intercept form (y=mx+b):
5x + 8x = 20
y = -5/8x + 5/2
What is the slope of y = -4?
ZERO
Is this data set linear: (2,3), (3,6), (4, 12)? And why or why not?
No, because it is exponential.
If you have a set of data and the mean is equal to the median, how is it skewed?
It is not. It is symmetrical
A dataset has a mean of 82 and a standard deviation of 4. If an outlier of 45 is added to the dataset, which of the following must be true?
A) The mean increases and the standard deviation decreases.
B) The mean decreases and the standard deviation increases.
C) The median will change more than the mean.
B