All About Slope
Slope-Intercept Form
Functions
Horizontal and
Vertical Lines
Vertical Lines
Word Problems
200
What is the formula for finding the slope of a line?
200
What does Slope-Intercept Form look like?
y=mx+b
200
How do we know something is a function?
Each input has one and only one output, but each output can have more than one input.
200
What do HOY and VUX stand for?
HOY: Horizontal lines have a slope of 0 and their equations are y=#
VUX: Vertical lines have an undefined slope and their equations are x=#
200
A recording studio charges musicians an initial fee of $50 to records an album. Studio time costs an additional $75 per hour. Write an equation that represents the total cost of recording an album.
y=75x+50
400
Find the slope of the line containing the points (0,2) and (1,1).
m=-1
400
Given the equation y=2x-7, what is the y-intercept?
y-intercept = -7
400
When given f(x)=3x-4 find f(-2) and f(3).
f(-2)=-10
f(3)=5
400
What is the equation of the vertical line passing through the point (3, -7)
x=-7
400
Bob wants to bring some friends to a baseball game. Parking costs $40 while tickets cost $15. Create an equation to find how much it will cost Bob to take 8 friends to the game.
Equation: y=15x+40
It will cost Bob $160 to bring 8 friends to the baseball game.
600
Find the slope of the line containing the points (4,9) and (1,2).
m=7/3
600
A line has a slope of 3 and a y-intercept of 6. Write an equation in slope-intercept form.
y=3x+6
600
Using a ruler, graph the function f(x)=5x-7 on the graph paper provided.
Check graph
600
What is the equation of a horizontal line passing through the point (4,9)?
y=4
600
The initial price of a cheese pizza is $15.50. Each additional topping is $.75. Create an equation to find how much it would cost to put 4 toppings on the pizza.
Equation: y=15.50+.75x
The pizza will cost $18.50 for 4 toppings.
800
What is the slope of a horizontal line and what is the slope of a vertical line? (Hint: They are not the same)
Horizontal: Zero
Vertical: Undefined
800
Write the equation of the line that passes through the points(5,-6) and (-2, 8) in slope intercept form.
y=-2x+4
800
Given g(x)= 3x+7 and f(x)=4x-5 find g(2) and f(6)
g(2)=13
f(6)=19
800
Using a ruler, graph the equation y=4 on the graph paper provided.
Graph checked on paper
800
Brian has a plumbing business. He charges a baseline price of $65 to get an initial idea of the amount of work he needs to do. He charges an additional $35 an hour for the work that he does. How much will a customer pay if Brian does 7 hours of work?
Equation: y=65+ 35x
Brian's customer will pay $310 for this job.
1000
Give another name/phrase for slope. (Not rise over run or the formula)
rate of change, change in y over change in x, steepness, even, every, per
1000
Write the equation of the line that passes through the two points (0, 10) and (20,5) in slope-intercept form.
y=(-1/4)x+10
1000
Write a linear function f with the values f(3)=11 and f(-1)=-1
f(x)=3x+2
1000
Using a ruler graph the equations y=-5 and x=-3 and give their intersection point.
Intersection point (-3, -5). Graph checked on paper
1000
Lisa is driving to Rochester. After 1 hours she is 175 miles from Rochester and after 4 hours she is 25 miles from Rochester. Create an equation to figure out how far away Lisa started from Rochester.
y=50x+225
Lisa is initially 225 miles away from Rochester.