Vocabulary
Writing Linear Functions
Graphing Linear Functions
Slope
Linear Functions Word Problems
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 are the two forms we have learned to write a linear equation given a real-world scenario?
Slope Intercept form
Standard form
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 in standard form where A=2 B=-4 and C=19
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
Anthony is buying carrots and celery at the grocery store. The carrots cost $1 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. If Anthony buys 4 pounds of celery, how many pounds of carrots can he buy?
1x+1.25y=10
5 pounds of carrots
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
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, then convert it to slope-intercept form.
5x+4y=20
y=(-5/4)x+5
300
Describe the graph and slope of y=5
horizontal , m= 0
400
Slope-Intercept Form
=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
Give the equation of a line parallel to the x-axis
Answers may vary. Must be x= ___
400
Find the slope of a linear function that contains the points (-2 , 8) and (5 , -13)
-3
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 an equation in slope-intercept form to show how much money she spends in total after x months.
If she's spent a total of $925 including that set up fee, how many months has it been?
y=100x+25
9 months
400
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
List an order pair & the slope from the line written in point slope form
y-3=1/2(x+7)
(-7,3)
m=1/2
500
Write x-2y=-4 in slope intercept from.
y=0.5x+2
500
Graph the following equation. (hint, you may need to convert it to slope-intercept form first.)
-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.
a. Write an equation that represents your distance from home (y) after (x) hours.
b. How many hours does it take to get home?
a. y = -3x + 12
b. 4
500
Explain two ways you could solve 20 = 5(−3 + x)
1) Divide by 5 first, or (2) Distribute the 5 first