All things slope
Fun with Functions
Data from Scatter Plots
Equations in all forms
100
Find the slope of the line that crosses through these two points:
(4, 3) and (-1, 6)
-3/5
100
Functions are often written in function notation. What does f(x) represent?
f(x)=y
100
Fill in the blank.
The scatter plot shows a ____________ correlation. As the height of the football player increases, weight usually __________.
Positive correlation. As height increases, weight generally increases.
100
Given the point (5,4) and slope of -2, what equation form is the most logical to use?
point-slope form
200
Find the slope of the line that crosses through these two points:
(5, 2) and (5, -2)
undefined
200
For f(x)=4x-12, find f(5)
8
200
Which line is the best line of fit? Justify.
line c. It has the most evenly distributed points on each side and shows a positive correlation.
200
Write the following equation in slope-intercept form.
y+4=-2(x-6)
y=-2x+8
300
Find the slope of the function:
m=-1
300
Find g(-8) for the following function:
g(x)=3x^2+12x+9
105
300
Describe the correlation.
Negative.
300
Jacob wrote an equation in standard form. What is his error?
-4x+y=10
In standard form, Ax+By=C, A cannot be negative.
400
Find the value of r that gives the line passing through (-5,2) and (3,r) a slope of 0.
2
400
Find g(5)+g(2) for the following function:
g(x)=3x^2+12x+9
189
400
Describe the correlation.
no correlation
400
Nathan has one more step to finish writing his equation in Standard Form. Complete the last step for him.
1/2x+3y=5
x+6y=10
500
A classmate is finding the slope of the line that passes through (-2,8) and (4, 6). Find their error.
In step 1, they reversed the order of the x-coordinates in the formula.
500
Cal says that the set of ordered pairs {(0,1),(3,2),(3,-5),(5,4)} represents a function. Determine whether his statement is true or false, and justify your argument.
False; The domain repeats a value, 3, each with a different output. A function can only have one output for every input. Here, the domain value 3 has an output of 2 and -5.
500
Determine if there is causation in the following scatter plot.
No causation.
While there is a positive correlation between civil engineering doctorates earned and mozzarella consumed, earning an engineering doctorate does not cause one to increase cheese consumption.
500
Write an equation for the line that is perpendicular to the following line and has a y-intercept of 3:
y=1/2x+1
y=-2x+3