Slope
What is the formula for calculating the slope between two points (x1,y1) and (x2,y2)?
m = (y2-y1) / (x2-x1)
What is the general form of the slope-intercept equation?
y=mx+b
What is the domain of a linear function?
The domain is all real numbers.
What is the general formula for direct variation?
y=kx, where k is a constant
What is the formula for the nth term of an arithmetic sequence?
an=a1+(n−1)d, where d is the common difference.
If a line passes through the points (2,3) and (4,7), what is the slope of the line?
m = (7-3) / (4-2) = 2
m = 2
In the equation y=5x−2, what is the slope?
The slope is 5.
If a line has a slope of 0, what is its range?
The range is a single value (the y-coordinate of any point on the line).
If y varies directly with x and y=30 when x=12, what is k?
k = 2.5
If the first term of an arithmetic sequence is 2 and the common difference is 3, what is the 5th term?
a5=2+(5−1)3
a5=14
What does it mean if a line has a negative slope?
It means that as x increases, y decreases.
What does the b represent in the slope-intercept form?
b represents the y-intercept.
For the line y=2x+3, what is the range?
The range is all real numbers.
Give an example of a direct variation equation.
Something in y=kx form
What is the common difference in the sequence 4, 7, 10, 13
The common difference is 3
Given a graph of a line, if the line passes through the points (1,2) and (3,6), what is the slope of the line?
m = (6-2)/(3-1) = 2
Write the equation of a line in slope-intercept form with a slope of 3 and a y-intercept of −4.
y=3x-4
How do you express the domain of the function y=x+1 in interval notation?
The domain is (−∞,∞).
If y=3x and x=5, what is y?
y=15
Write the first five terms of an arithmetic sequence where a1=5 and d=−2.
5, 3, 1, -1, -3
If a line is vertical, what can you say about its slope?
The slope is undefined.
How can you determine the y-intercept from the equation 2y-4x=8?
Rearranging gives y=2x+4, so the y-intercept is 4.
What is the domain of the function represented by the line segment between (1,2) and (3,4)?
The domain is [1,3].
If y varies directly to x and y=3 1/4 when x=1/2, what is y when x=7 1/2?
y = 48 3/4
If the 10th term of an arithmetic sequence is 50 and the common difference is -5, what is the first term?
50 =a1+(10−1)5
a1=5