Vocabulary
Graphing Linear Functions
Slope
Miscellaneous
Writing Equations
100
Linear Function
Linear functions are those whose graph is a straight line.
A linear function has one independent variable and one dependent variable.
100
Which list contain points that lie on the graph of
y = 2x − 1?
a. (0, -1), (15, 29)
b. (-2, -4), (1, 3)
c. (-2, -3), (0, 0)
d. (2000, 1999), (3, 5)
a. (0, -1), (15, 29)
100
Identify the slope of the linear equation
y = -x + 6
The slope is -1
100
Use <,>, or = to compare the two function's y-intercept.
Function 1: y=-4x+3
Function2:
x -1 0 1 2
y 2 4 6 8
Function 1:3 < Function 2: 4.
100
Write an equation for a line that has a slope of 5 and a y-intercept of -6.
y=5x-6
200
y-intercept
The y intercept is the point where the line crosses the y axis. At this point x=0
200
In general, what is the y-intercept of a graph?
y = b or (0, b)
200
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
200
Use <,>, or = to compare the two function's slope.
Function 1: y=4x+3
Function2:
x -1 0 1 2
y 2 4 6 8
Function 1: 4 > Function 2: 2
200
Write an equation for the function.
x -1 0 1 2 3
y -1 2 5 8 11
y=3x+2
300
Slope
the steepness of a line
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
What is the slope of the linear function
y = 14
0
300
What is different between a proportional relationship and any other linear function?
Proportional relationships always start at the origin and their equation is y=mx.
300
Write an equation of the line with a slope -1 and passes through the point (3,1)
y=-x+4
400
Slope-Intercept Form
=y coordinate
=slope
=x coordinate
=y intercept
400
Would (2,-2) be a solution to the equation
y =2x + 1?
No, if I substitute 2 in for x we have
y=2(2)+1
y=4+1
y=5
5 is not equal to -2
400
Find the slope of a linear function that contains the points (-2 , 8) and (5 , -13)
m=(-13-8)/(5-(-2))=-21/7
m=-3
400
Use <,>, or = to compare the two function's slope.
Function 1: y=-2x+1
Function2:
x 1 3 8
y -2 -6 - 16
Function 1: -2 = Function 2: -2
400
Write an equation of the line passing through the points (-1,6) and (2,0).
y=(-1/2)x+4
500
Rate of Change
How much a variable changes over time.
500
Draw a graph with a slope of 4 and a y-intercept of -1.
Multiple responses accepted.
500
Write the equation of the table below.
x -1 2 5 8
y -2 7 16 25
y = 3x + 1
500
A line drawn through a graph that determines if the graph is a linear function or not.
Vertical line Test
500
Write an equation for a line that passes through the points (2,9) and (-7,12)
y=(-1/3)x+(29/3)