Vocabulary
Writing Linear Functions
Graphing Linear Functions
Slope
Functions
Miscellaneous
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
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
What 2 "tests" must be passed to be a "function"?
vertical line test
x-values can't repeat
100
Function or not?
(-2,3), (-1,3), (8,4), (11,2)
yes
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 with an initial value of 0 and slope of 1/2
2x-4y=19
200
Is there a y-intercept of the graph x=4, and if so, what is it?
No!
200
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
200
Function or Not a function? Explain why.
Function
x-values do not repeat.
200
Solve the equation for x:
2(x + 3) = 14
x = 4
300
Slope Formula
the steepness of a line
300
Write the linear function in this graph:
y=20x-15
300
DAILY DOUBLE!!!!
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
Function or not a function:
5x+4y=20
Explain why
Function
passes the vertical line test
300
Describe the graph and what the the slope equals for
y=5
horizontal , m= 0
400
What is Slope-Intercept Form, and what does each variable stand for?
=y coordinate
=slope
=x coordinate
=y intercept
400
Write a linear function that passes through the points (0,2) and (4,5).
y= 3/4x +2
400
Explain what the graph of the system would look like then solve the system.
y = 52x + 3
y = 52x - 3
parallel lines
no solution
400
Find the slope of a linear function that contains the points (-2 , 8) and (5 , -13)
-3
400
Function or not? Explain why.
Not a function
one input going to 2 different outputs (x value repeats)
400
Rewrite in slope intercept form and then identify the slope and y-intercept.
-5x + 3y = -15
Slope intercept form y = (5/3)x - 5
Slope: 5/3
y-intercept: -5
500
Without using a calculator, list the slope and y-intercept
y=7-x
y-intercept/b= (0, 7) or 7
slope/m=-1
500
Write x-2y=-4 in slope intercept from.
y=0.5x+2
500
Rewrite the equation in slope intercept form.
-2x + 3y = 12
y = 2/3x + 4
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
You are at school, 12 miles away from home. You start walking home with your friends at a speed of 3 miles per hour towards your home.
Write an equation that represents your distance from home (y) after (x) hours.
y = -3x + 12
500
Solve for x:
20 = 5(−3 + x)
Then explain the steps taken to solve.
x = 7
Explain steps - answers may vary