Writing Linear Functions
Graphing Linear Functions
Slope
Intercepts
Modeling with Linear Functions
100
Write a linear function in standard form where A=2 B=-4 and C=19
2x-4y=19
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 are the x and y-intercepts of the following graph?
x-intercept: 2.5
y-intercept: -2
100
What are the two forms we have learned to write a linear equation?
Slope Intercept form
Standard form
200
Write a linear function with a slope of -9 and a y-intercept of 5
y =-9x+5
200
What is the equation of the line that is parallel to
y = (2/3)x + 4 with a y-intercept of -10
y = (2/3)x - 10
200
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
200
What are the x and y-intercepts of the linear function:
4x+2y=8
x-intercept: 2
y-intercept: 4
200
Anthony is buying carrots and celery at the grocery store. The carrots cost $1.50 per pound, x. The celery costs $1.25 per pound, y. He has a total of $10 to spend.
Write an equation in standard form that represents how many pounds of carrots x and pound of celery y that he can buy.
1.5x+1.25y=10
300
Write the linear function in this graph:
y=20x-15
300
The given table shows a directly proportional relationship between x and y.
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
What are the x and y-intercepts of the linear function
12x – 6y = –36
x-intercept:(-3,0)
y-intercept: (0,6)
300
Maria wants to buy oranges and bananas at the store. Let x represent the number of oranges and y represent the number of bananas. Oranges are $5 a pound and bananas are $4 a pound. She has a total of $20 to spend.
Write an equation in standard form that represents the situation.
5x+4y=20
400
Write a linear function that contains the points (0,2) and (-4,5).
y =3/4x +2
400
Would (2,-2) be a solution to the inequality
y ≤ 2x + 1?
Yes because if (2, -2), then
-2 ≤ 2(2) + 1
-2 ≤ 4 + 1
-2 ≤ 5
Since this is true, (2,-2) is a solution.
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 are the x and y-intercepts of the linear function:
-10x + 6y = -30
x-intercept: 3
y-intercept: -5
400
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
500
Find the line Perpendicular to y = 2/3x + 10 with a y-intercept of 1.
y = (-3/2)x + 1
500
Describe how we would graph the linear function:
-8x + 4y = 12
First, find the x-intercept and the y-intercept. Next, graph the two points on the x-axis and y-axis. Lastly, connect the points and use the rise/run to graph more points if necessary.
500
Write the equation of the table below.
x -1 2 5 8
y -2 7 16 25
y = 3x + 1
500
Identify the slope and y-intercept of the standard form equation
-5x + 3y = -15
Slope intercept form y = (5/3)x - 5
Slope: 5/3
y-intercept: -5
500
A 2 foot tall pine tree was planted. The tree grows at an average rate of 3/4 foot per year.
Write an equation and use it to find how tall the tree is after it grows for 12 years.
y = 2 + (3/4)x
y = 2 + (3/4)(12)
y = 11 feet