Function Form
Using Intercepts
Linear Relationships
Slope of a Line
Slope-Intercept Form
100
Write the equation in function form/slope-intercept form.
-y=6x
y=-6x
100
Find the x-intercept of x + 22y = 5 . Write the x-intercept and write it as an ordered pair.
x+22(0)=5
x+0=5
x=5
(5,0)
100
Is this a linear function function? If so, explain why. 
Yes, it is a linear function.
Explanation: The rate of change is constant.
100
What is the slope of the line
y=-2x+ 8
m=-2
100
What is the slope of the line:
y=1/2x+8
m=1/2
200
Write the equation in function form/slope-intercept form.
9x + y = 12
y = - 9x +12
200
Find the y-intercept of x + 5y = 15 . Write the y-intercept and write it as an ordered pair.
0+5y=15
(5y)/5=15/5
y = 3
(0,3)
200
Determine whether the table represents a linear or nonlinear funtion. SHOW YOUR WORK. Provide an explanation.
The table represents a nonlinear function. The rate of change is not constant.
200
Find the slope of the line passing through the following points:
(5, -12) and
(-11, -36)
Note: Write your final answer as an integer, a reduced proper fraction, or a reduced improper fraction.
m=3/2
200
Identify the slope and y-intercept of the line with the given equation. Use the slope and y-intercept to graph the equation.
y=4x
y-intercept: y=0 (0,0)
slope: m=4
300
Write the equation in function form/slope-intercept form.
y = -18 - 2y + 5x
3y = 5x-18
(3y)/3=(5x)/3-18/3
y=5/3x-6
300
Find the x-intercept and y-intercept of -4x +12y=12. Write the x and y intercepts and write each as an ordered pair.
x = -3
(-3,0)
y= 1
(0,1)
300
The graph is an example of a linear relationship. Identify and label the constant rate of change. Write the rate of change as an integer or decimal (a unit rate). SHOW YOUR WORK. Write the meaning of the rate of change in a sentence.
Bob works at Wegmans.
300
What is the slope of the line:
m=-4/5
300
What is the slope of the line:
-3x + y = 2
m=3
400
Write the equation in function form/slope-intercept form. Write all numbers as an integer, a reduced proper fraction, or a reduced improper fraction.
7x - 8y + 6 = 10 +2x
-8y+6=10+2x-7x
-8y=-5x+4
(-8y)/-8=(-5x)/-8+4/-8
y=5/8x-1/2
400
Find the intercepts of the equation. Write the x and y intercepts and write each as an ordered pair.
5y + 3x = 15
x = 5
(5,0)
y = 3
(0,3)
400
The graph is an example of a linear relationship. Identify and label the constant rate of change. Write the rate of change as an integer or decimal (a unit rate). SHOW YOUR WORK. Write the meaning of the rate of change in a sentence.
Bob bought a 40-cup bag of cat food. Each day, Bob feeds his cat the same amount of food.
400
What is the slope of the line:
m=0
400
Identify the slope and y-intercept of of the line with the given equation. Use the slope and y-intercept to graph the equation.
y=x + 5
y-intercpet: y=5 (0,5)
slope: m=1
500
Write the equation in function form/slope-intercept form. Write all numbers as an integer, a reduced proper fraction, or a reduced improper fraction.
8y +8x -4 - 7y = 2(3x + 1 -2y)-4y
y+8x-4=6x+2-4y-4y
y=-2x+6-8y
9y=-2x+6
(9y)/9=-2/9x+6/9
y=-2/9x+2/3
500
Find the intercepts of the equation. Write the x and y intercepts and write each as an ordered pair.
7x - 9y = 63
x = 9
(9,0)
y = -7
(0,-7)
500
Determine whether the table represents a linear or nonlinear function. SHOW YOUR WORK. Provide an explanation.
The table represents a linear function. The rate of change is constant.
500
Which line is the steepest? Which line is the most gradual? Be ready to explain yourself!
a. y=2x-1
b. y=1/2x+9
c. y=10x-5
d. y=1/10x+8
c. Steepest: y=10x-5
The biggest slope is 10 .
d. Most gradual: y=1/10x+8
The smallest slope is 1/10 .
500
Identify the slope and y-intercept of of the line with the given equation. Use the slope and y-intercept to graph the equation.
y=2-3/4x
y-intercept: y=2 (0,2)
slope: m=-3/4
