Linear Functions
from Graphs
from Graphs
Linear Functions
Slope
Testing inputs
Linear Functions Vocabulary
1
A linear function has a slope of -3 and passes through the y-axis at 4.
Write the equation of the line in slope-intercept form.
y=-3x+4
1
Which point lies on the graph of
y = 2x − 1?
(-2, -4) or (0, -1)?
(0, -1)
1
What is the slope of the table?
Slope = 3
1
The point (3,w) is on the graph of y=2x+5. What is the value of w?
11
1
A measure of how one quantity changes in relation to another. For a linear function, it is another name for the slope. (Not rise over run)
Rate of Change
2
Write the equation in slope intercept form to represents this graph:
x=7
2
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
2
What is the slope of the linear function
y = 14-14x
-14
2
The graph of the equation 2x+6y=4 passes through point (x,-2). What is the value of x?
8
2
The following words and phrases are commonly also known as the ___________?
Initial Value
Starting Point
Vertical Intercept
Fixed Value
Entrance Fee
Y- Intercept
3
What linear function represents the graph?
y=x+3
3
What is the slope of the graph
x = 4?
undefined
3
Find the slope of a line that passes through the points (0, 5) and (2, 10)
Slope = 5/2
3
If point (K,-5) lies on the line whose equation is 3x+y=7, then the value of K is?
4
3
The point where a line crosses the y-axis. It is the value of y when x=0.
Y-Intercept (b)
4
Write a linear function for this graph.
y= 1/2x-6
4
Write an equation for this table in slope intercept form.
y=4x+6
4
Find the slope of a linear function that contains the points (-2 , 8) and (5 , -13)
-3
4
If the point (5,k) lies on the line represented by the equation 2x+y=9, the value of k is?
-1
4
In a function, the _______ is the independent variable. It is the value that is substituted into the function to determine the output.
Input, or x value
5
What linear function represents the graph?
y=-2/3x+3
5
If a line goes through the coordinate (2,4) and has a slope of -3, what would the y-intercept be?
10
5
What is the slope of the line with equation y= -7?
0
5
The coordinates (-2,3), (4,9), and (x,15) lie on the same straight line. What is the value of x?
10
5
A _________ function is a function whose graph does show a relationship between the input (x) and output (y).
linear