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Slope and Proportionality
100

How can you tell if a graph is proportional?

IT TOUCHES THE ORIGIN!!

100

What does the letters "m" and "b" mean in y=mx+b?

m= SLOPE

b= Y-INTERCEPT

100

Is the following represent a proportional or non-proportional function? EXPLAIN

y=-2x

What is Proportional?


*because it only has the SLOPE and no y-intercept*

y-intercept = 0 here

100



Because each x-value only has one y-value  (or one line). 

100

(0,0) represents...

What is the Origin?

200

Is the following proportional or non-proportional?

proportional

200

How can you tell if a table is non-proportional?

The "b" does NOT equal 0. 



200

Is the following represent a proportional or non-proportional function? EXPLAIN 


y=-3x+1/2

What is non-proportional?


There is a y-intercept of 1/2

b= 1/2

200

identify the y-intercept 

y + 5x + 3

What is 3?

200

The slope of this equation is: y = -3x + 6

What is -3?

300

What is the coordinate for the origin?

(0,0)

300

Is the following proportional or non-proportional?

EXPLAIN

Proportional, because the y-intercept is 0

b=0

300

what makes an equation PROPORTIONAL?

When it only includes the slope, or 'a' or 'm' -- there is no y-intercept or 'b'. 


y=ax

300


A - the only one to pass the vertical line test

300

The following equation (y = 2x + 8) is......

What is Non-Proportional?

400

Is the following proportional or non-proportional?

non-proportional

400

How can you tell if a graph is proportional??

AFTER PUTTING THE NUMBERS IN THE CALCULATOR:

the y-intercept is 0

OR

b=0

400

Does the following situation describe a proportional or non-proportional relationship?

The total surface area of a cylinder with a radius of 1 unit and height of x units can be represented by

 y= 2πx + 2π.

400

Simplify the following equation 


2y=14

y=7

400

True or false: The following equation is non-proportional:    y = kx

What is false?

500

How can you tell if a graph is non-proportional?

it does NOT touch the origin

500

is the following proportional or non-proportional?

EXPLAIN

Non-proportional because the y-intercept is -5

b= -5

500

Write the following equation.

Explain if its proportional or non-proportional. 

The weight in x weeks of a baby that gains 4 pounds per week if the baby’s starting weight is 8 pounds.

500

A festival food and game ticket costs $2 per ticket. The festival also charges a $5 admission fee. What is the y intercept in this situation?

What is the admission fee $5.

500

The following equation (y=3x) is.........

What is proportional?

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