Identifying Linear Functions
Identifying Intercepts
Slope
Forms of Linear Equations
Random
100
What is a function with 2 different variables that forms a straight line when it's graphed called?
Linear Function
100
What is the x-coordinate of the point where the graph intersects the y axis?
0
100
What is the slope of a horizontal line?
Zero
100
What is slope intercept form?
y=mx+b
100
Write the linear equation in slope intercept: Slope=-7 ; (4,2)
y = -7x + 30
100
Determine if the following is linear and/or a function. Bonus points will be awarded if you explain why or why not.
Your grandpa bought a vintage car for $3,000 that triples in value every year.
Non-linear, but it is a function. It's non-linear because the value is being multiplied every year, which means the graph would come out as exponential.
100
Find the x intercept: 2x- 4y=8
(4, 0)
100
What is the slope of a vertical line?
Undefined
100
Write the equation in slope intercept form:
slope=0, y intercept =-5
y=-5
100
Determine if the following scenario describes a linear function. Bonus points will be awarded if you explain why or why not and answer the question.
You want to buy two new pairs of shoes before basketball season starts. The shoes are $75 per pair. Your mom says she'll give you $20 per week to mow the lawn and do all the laundry. How many weeks will it take you to earn enough to buy the shoes?
Linear - key words "per" are present, constant increase.
It will take 8 weeks to earn the money.
100
Determine if the equation is a linear function. If so, write the equation in standard form.
y = 4(3x - 2) + 6
It is a linear function. The equation in standard form would be -12x + y = -2
100
Find the x and y intercepts of 3x+4y=24
(8, 0) (0, 6)
100
Identify the slope of the linear equation y=−x+6
The slope is -1.
100
Write the equation in slope intercept form:
slope=4 and (2,5) is on the line
y=4x-3
100
f(x) = 12x + 5
Evaluate this function for f(-2).
f(-2) = -19
100
Tell whether the set of ordered pairs satisfies a linear function. Explain (2,4), (5,3) (8,2), (11,1)
Yes, constant change of 3 for x. Constant change of -1 in y
100
Find the x and y intercepts of 3x- 2y=12
(4, 0) and (0, -6)
100
Find the slope of (20,3000) and (60,2000)
What is -25
100
Write this sequence in function notation:
17, 11, 5, -1...
f(n) = -6n + 23
100
The number of seats at a restaurant, both at the bar and at tables, can be represented by the function S = 5t + 15. What does the 5 represent?
The number of seats at each table
100
You're looking to order shirts for a club you're a part of. A company you're ordering from charges a design fee of $30 in addition to the cost of each t-shirt. If the equation C = 11t + 30 represents the total cost of your order, what does the 11 represent?
The cost of each individual t-shirt
100
Find the x and y intercepts of 2x + 4y=8.
(4, 0) and (0, -2)
100
Write the linear function in this graph.
y=20x−15
100
Write this sequence in slope-intercept form: -4, 3, 10, 17...
y = 7x -11
100
Write this sequence in standard form: 13, 9, 5, 1...
4x + y = 17