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
A linear function has a slope of -3 and passes through the point (2,-2).
a) Write the equation of the line point-slope form.
b) Write the equation of the line in slope-intercept form.
a)
y+2=-3(x-2)
b)
y=-3x+4
100
Which point lies on the graph of y = 2x − 1?
(-2, -4) or (0, -1)?
(0, -1)
100
What is the equation of a line that is perpendicular to the line
y = 2/3x+5
and that passes through the point (2,-6)?
y=-3/2x-3
100
Name two forms of a linear equation
Slope Intercept form
General form
Point Slope form
100
linear or not? Why?
(-2,3), (-1,3), (8,4), (11,2)
Linear. Each x-value only appears in our domain once.
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 general form where A=2 B=-4 and C=19
2x-4y+19=0
200
Is there a y-intercept of the graph x = 4, and if so, what is it? Explain.
No, x=4 is a vertical line that does not lie on the y-intercept
200
Find the slope of a line that passes through the points (0, 5) and (2, 10)
m = 5/2
200
An attorney charges a fixed fee of $250 for an initial meeting and $150 per hour for all hours worked after that.
a) If an equation is written in slope intercept form, what is the value of "b" (y-intercept)?
b) What does the value of b represent?
a) $250
b) How much the attorney charges at t=0, the starting cost.
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
The given table shows a linear function.
What is the missing number in the table? HINT: think rise/run
x 0 2 4 6
y -1 1 ? 5
3
300
What is the slope of the linear function
y = 14
0
300
A video streaming app charges a $9 membership fee and $1.50 for each video stream.
a) Write a linear equation in slope-intercept form to model this scenario.
b) State what the coefficient and the constant are in the equation.
a) y=1.50x + 9
b) coefficient=1.50, constant=9
300
Describe the graph and slope of y=5
A horizontal line, m= 0
400
What is Slope-Intercept Form? Identify all its parts
y= mx+b
m= slope
b= y intercept
400
Write a linear function that passes through the points (0,2) and (-4,5).
y= 3/4x +2
400
Given 5x - 2y = 20, find the x & y intercepts
x-intercept is (4, 0)
y-intercept is (0, -10)
400
Find the slope of a linear function that contains the points (-2 , 8) and (5 , -13)
-3
400
A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute.
a) What is the independent variable?
b) What is the dependant variable?
a) time, t
b) gallons, g
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
What is Point-Slope form? Identify all it's parts.
y-y1=m(x-x1)
(x1, y1)= point on the line
m=slope
500
Write x-2y=-4 in slope intercept from.
y=0.5x+2
500
Convert the equation below to slope intercept form
-2x + 3y = 12
y = 2/3x + 4
500
What is the slope of the line with equation x = -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.
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