Vocabulary
Writing Linear Functions
Graphing Linear Functions
Slope
Linear Functions Word Problems
100
Linear Function
Linear functions are those whose graph is a straight line.
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
Solve the equation for x:
2(x + 3) = 14
x = 4
200
x-intercept and y-intercept
The x intercept is the point where the line crosses the x axis. At this point y = 0.
The y intercept is the point where the line crosses the y axis. At this point x=0
200
Write a linear function in standard form where A=2 B=-4 and C=19
2x-4y=19
200
What is the y - intercept of the graph?
y = 0 or (0, 0)
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 $1.50 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
Slope
the steepness of a line
300
Write the linear function in this graph:
y=20x-15
300
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.
5x+4y=20
400
Slope-Intercept Form: Equation
=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
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 , 8) and (5 , -13)
m=(-13-8)/(5-(-2))=-21/7
m=-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 a function to show how much money she spends in total after x months.
y=100x+25
500
Standard Form
500
Write the an inequality that represents the graph.
y > -4x - 2
500
How could you write this standard form equation in slope intercept form?
-2x + 3y = 12
y = 2/3x + 4
500
Write the equation of the table below.
x -1 2 5 8
y -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. What does the slope of the equation represent?
c. What does the y-intercept of the equation represent?
a. y = -3x + 12
b. 3 miles per hour - walking closer to home (it is negative since the distance is getting shorter)
c. 12 miles away from home (the starting point)