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.
A linear function has one independent variable and one dependent variable.
100
Write a linear function with a slope of -9 and a y-intercept of 5
y =-9x+5
100
What letter in y=mx+b represents slope?
m
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
or
Standard form
or
Point Slope Form
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 letter in y=mx+b represents the y-intercept?
b
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 that has a slope of 3 and passes through the points (1,-2)
y=3x+6
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
=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
Write the equation 2x+3y=6
y=-2/3x+2
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 a linear equation that is perpendicular to y=-2x+4 and passes through the point (-2,3)
y=1/2x+4
500
How could you write this standard form equation in slope intercept form?
-2x + 3y = 12
y = 2/3x + 4
500
Find the slope from these two points.
(-6,3) (-6,7)
Undefined
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.
Write an equation that represents your distance from home (y) after (x) hours.
y = -3x + 12