Writing Linear Functions
Graphing Linear Functions
Slope
Modeling with Linear Functions
100
Write a linear function with a slope of -9 and a y-intercept of 5
y =-9x+5
100
Graph y= 1/2x - 4
Start at -4, go up 1 over 2.
100
Identify the slope of the linear equation
y = -x + 6
The slope is -1
100
What are the two forms we have learned to write a linear equation?
Slope Intercept form
Standard form
200
Change 3x -2y = 10 to slope intercept form.
y= 3/2x - 5
200
Graph y = -x - 5
Start at -5, go down 1, right 1
200
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
200
T-Mobile charges $100 a month for a family plan for four people. They also charge a one time set up fee of $25. Write a function to show how much money she spends in total after x months.
y=100x+25
300
Write the linear function in this graph:
y=20x-15
300
Graph y + x = 4
Intercepts at x=4 and y=4
300
What is the slope of the linear function
y = 14
0
300
A 2 foot tall pine tree was planted. The tree grows at an average rate of 3/4 foot per year.
Write a linear function and use it solve for how tall the tree is after 12 years.
y = (3/4)x + 2
y = (3/4)(12) + 2
y = 11 feet
400
Write a linear function that contains the points (0,2) and (-4,5).
y =3/4x +2
400
Graph 2x - y = 4
x intercept of 2 and y intercept of -4
400
Find the slope of a linear function that contains the points (-2.5 , 9) and (5 , -13.5)
m=(-13.5-9)/(5-(-2.5))=-22.5/7.5
m=-3
400
What is the y-intercept of the graph and what does it represent?
1000
The initial or starting cost of the vacation is $1000.
500
Find the line Perpendicular to y = 2/3x + 10 and contains the point (-4, -5)
y = (-3/2)x + 1
500
Graph
-6y + 4x = 12
x intercept of 3, y intercept of -2
500
Write the equation of the table below.
x -1 2 5 8
y -2 7 16 25
y = 3x + 1
500
What is the approximate slope of the graph and what does it represent?
Around 250.
For each day of vacation, the total costs increases by $250.