Is It Proportional?
Reading the Graph!
Rate of Change
Writing Equations
Transforming Lines
100

What 2 criteria does a line need to meet in order to be proportional? 

 Straight, and goes through the origin (0,0)

100

Is this graph increasing or decreasing?

Increasing

100

Determine the rate of change for the following equation: y=x

Rate of change/slope is 1 or 1/1

100

When graphing a line from an equation, where do you begin? 

At your b value which is the y-intercept. 

100

When translating a line vertically on the y-axis, how do your coordinates change? 

x values stay the same. y values change. 

200

Is this proportional? Justify your answer. 

Yes. Increasing at a constant rate and starts at the origin. 

200

Is this graph increasing, decreasing, or neither? 

Neither. It has a slope of 0.

200

What is the rate of change for the graph?

M=1/4

200

What is the general equation for linear lines?

y=mx+b

200

What happens to your slope if you dilate by a number greater than 1? 

The slope will get steeper.

300

Is this line proportional? 


No. It is not straight

300

T or F? When reading a graph I always read it from right to left? 

False! You ALWAYS read the graph from left to right. Just like you read a sentence! 

300

Which equation has a greater rate of change? 

The equation y=2x-8 has a greater rate of change which is 2. 

300

Write the equation of the line that has a slope of -2 and a y-int. of 4.

y=-2x+4

300

What happens to your line if you dilate it by a factor less than 0?

Switches direction. Positive becomes negative. Negative becomes positive. 

400

Is this equation proportional?

y=2x-1

No, it does not go through the origin.

400

Are these lines parallel? Justify your answer. 

No. They are increasing at different rates. 

400

Determine the slope.


M=1/3

400

Are these equations parallel? Justify your answer.

y-1=3x+2

y=3x-4


Yes, both of the lines have a slope of 3. 

400

Here is the graph y=x. Translate it down 5 units. What is the y-intercept of your translated line? What is the slope? 

y-intercept is at -5. Slope stays the same and equals 1. 

500

Which store has the lowest price per scoop?


Store A which is .75c per scoop.  B is $1 per scoop, C is $1.50 per scoop.

500

Which line represents the following problem:

Mrs. Gibson is selling cookies to earn money for math club. She finds that 4 out of every 7 cookies she sells are chocolate chip. (Distinguish the line by the color it is)

The green line represents the problem situation. 

500

What is the slope of the line created between the 2 points?

M=-2

500

Write the equation of the line.

y=-7/3x+1

500

Dilate the line y=x by a factor of 1/5. Write the equation of your new line. 

The equation of the dilated line is y=1/5x.