What does Linear Mean
Is a Straight Line
Which equation represents a proportional relationship between an amount of blue paint, x and an amount of white paint, y? and why?
y=4x+2 y=3/4x y=x3 y=5/x
y= 3/4x and because there is nothing after x
y= 2x + 3
What is the m and the b
m = 2
b= 3
On a graph how do you find slope?
Rise/ Run
When reading a word problem how do you know which number is your slope
it will be next to the key word; Each, every, per
A solution is when?
Two lines are intersecting each other
What are the 3 key words for a word problem? What do you do to those key words?
Per, Each, and Every. You cross them out.
Which equation represents a non-proportional relationship between x and y?
y=2x y=2x+5 y=3x y=4x
y= 2x+5 because it does not go through the origin because it start at 5
y= x - 2
What is the slope and y-intercept?
x= 1
b= -2
On a graph, how do you find y-intercept?
Where the line crosses the y-axis
When reading a word problem how do you know which number is your y-intercept?
It will be the starting/initial/ beginning value. It will not change.
What is the solution? How do you know?
(6,-1)
What is the equations for slope and y-intercept? What does m and b represent?
y = mx+b
m= Slope
b= y-intercept
Which graph represents a proportional relationship? And Why
D
y= 2/3x
What is the m and what is the b?
m= 2/3
b= 0
What is the y-Intercept?
-7
Erin has completed reading 10 pages of a book. Every hour she reads, she adds another 20 pages to her progress in the book. Which equation represents the relationship between the number of hours Erin reads, x, and the total number of pages she has read, y. What is the equation?
y= 10x+ 20
What is the solution? How do you know?
(-2,1)
What is slope and what are the different types of slopes
Teacher chooses
Positive, Negative, Zero, Undefine
Which representation shows a proportional relationship between x and y? How do you know?
D
Slope = 5/4, y-intercept =0
y= 5/4x
What is the slope?
5/3
A local shipping company bases its charges on the weight of the items being shipped. In addition to charging $0.50 per pound, the company also charges a one-time fee of $15 to set up a customer’s account. Write an equation for the problem situation.
y= 0.05x + 15
Solve for b. The point is (1,2) and the slope 3. (Hint: Replace x and y with the numbers)
y = 3x + b
b = -1
What is the difference between Proportional Vs. Non - Proportional
Proportional: A Straight line, Goes through the origin, in y=kx form
Non-Proportional: Not a Straight line, does not go through the origin, in y=mx + b form
Which table does not show a proportional relationship between x and y?
A
How would you write the equations?
Slope = -2, y-intercept = -10
y= -2x-10
What is the equation of this graph?
y=-4x+3
A bank account is overdrawn by $-200 and loses $25 more every month due to fees. Write the equations
y=-25x-200
Solve for b. The point is (11,8) and the slope -3. (Hint: Replace x and y with the numbers)
y=-3x+b
b=-25