from Graphs
A linear function has a slope of -3 and passes through the point (2,-2).
Write the equation of the line in slope-intercept form.
y=-3x+4
Point that lies on the graph of y = 2x − 1?
(-2, -4) or (0, -1)?
What is (0, -1)?
Slope of the table.
What is Slope = 3?
A rental car costs $30 per day plus $0.20 per mile driven. Write the equation to find the total cost, y, for x miles driven in a single day.
What is y = 0.2x+30 ?
A measure of how one quantity changes in relation to another. For a linear function, it is the same as the slope.
Rate of Change
What linear function represents the graph?
y=3x+3
The y-intercept of the graph x = 4.
What is it does not exist because x=4 is a vertical line so it does not intersect the y-axis?
The slope of a line that passes through the points (0, 5) and (2, 10)
Slope = 5/2
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 when first meeting.
The point where a line crosses the y-axis. It is the value of y when x=0.
Y-Intercept (b)
Linear function that passes through the points (0,2) and (-4,5).
y= 3/4x +2
Write an equation for this table in slope intercept form.
y=4x+6
Slope of a linear function that contains the points (-2 , 8) and (5 , -13)
What is -3?
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 linear functions represents this situation?
b) How long will it take to get to 95 gallons in the tank?
a) y= 8x +55
b) 5 min.
In a function, the _______ is the independent variable. It is the value that is substituted into the function to determine the output.
Input
A linear function that represents this graph:
y=20x-15
The given table shows a linear function. The missing number in the table? HINT: Think rise/run
x 0 2 4 6
y -1 1 ? 5
What is 3?
Slope of the linear function.
y = 14
What is 0?
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)How much would it cost to stream 12 videos?
a) y=1.50x + 9
b) $27
The following words and phrases are commonly also known as the ___________.
Initial Value
Starting Point
Vertical Intercept
Fixed Value
Entrance Fee
What is the Y- Intercept?
What linear function represents the graph?
Y= 3/4x - 5
Convert the equation below to slope intercept form
-2x - 3y = -12
y = -
y=-2/3x+4
2/3x + 4
Slope of the line with equation x = -7.
What is Undefined?
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 hours
A _________ function is a function whose graph does not show a relationship between the input (x) and output (y).
nonlinear