Vocabulary and formulae
Writing Linear Functions
Graphing Linear Functions
Slope
Parallel and Perpendicular Lines
100
Describe a y-intercept.
The y intercept is the point where the line crosses the y axis. At this point x=0
100
Write a linear function with a slope of -9 and a y-intercept of 5
y =-9x+5
100
Does the table represent a linear or nonlinear function? Explain using the phrase "constant rate of change."
x y
2 9
4 18
6 27
8 36
This represents a linear equation because x and y have a constant rate of change.
100
Identify the slope of the linear equation
y = -x + 6
The slope is -1
100
What is the product of the slope of two perpendicular lines?
-1
200
Describe an x-intercept.
The x intercept is the point where the line crosses the x axis. At this point y = 0.
200
Write a linear function where
f (0) = 3, f (−6) = 4
f(x)= -1/6x + 3
200
In the graph of x = 4, does this represent a linear function? Explain using the terms function, inputs and outputs.
This graph would represent neither linear or nonlinear because a vertical line is not considered a function as the input 4 is paired with multiple outputs.
200
What is the slope of a horizontal line?
The slope is 0.
200
What is an equation that is parallel to the line y = -3x - 3 and passes through (0, 5)?
y = -3x + 5
300
Three formulae for slope, but 2 of them are
rise/ run,
y1-y2/x1-x2, change in y/ change in x
300
Write the linear function in this graph:
y=20x-15
300
The given table shows a linear function.
What is the missing number in the table?
x 0 2 4 6
y -1 1 ? 5
3
300
Is the function represented by the ordered pairs linear or nonlinear? Explain.
(0,2) (3,14) (5,22) (9,38) (11,46)
This represents a linear function. Both x and y increase by a constant rate of change.
300
Are these lines parallel, perpendicular, or neither?
a) y = 2x + 5
b) 2x - 4y = 8
Neither
400
What is the formula of a line in Slope-Intercept Form?
=y coordinate
=slope
=x coordinate
=y intercept
400
Write a linear function that passes through the points (2,3) and (4,7).
y=2x-1
400
A line passes through the points (0, −2)
and (0, 5). Is it possible to write an equation of the
line in slope-intercept form? Justify your answer.
No, the line has undefined slope
400
Find the slope of a linear function that contains the points (-2 , 8) and (5 , -13)
-3
400
What is the slope of the line perpendicular to:
2x + 5y = 3?
5 / 2
500
What is the point slope formula?
y - y1=m(x-x1)
500
A recording studio
charges musicians an initial fee of $50 to record an
album. Studio time costs an additional $75 per hour.
a. Write a linear model that represents the total cost
of recording an album as a function of studio time
(in hours).
f(t)=75t+50
500
Which of the following equations do NOT represent linear functions?
A. 12 = 2x2 + 4y2 D. x = 9 - 3/(4y)
B. x = 25y + 3 E. y = 5x/11
C. x = 8 F. xy = 9
A, C, D, F
500
Write the equation in slope-intercept form of the table below.
x 0 -1 2 5 8
y 1 -2 7 16 25
y = 3x + 1
500
What is an equation that is perpendicular to the line
y=1/2x − 9
and passes through (7, 10)
y = −2x + 24