Finding m & b
Interpreting m & b
Slope-Int Form
Standard Form
Parameters
Functions
Function Notation
100

State the slope and y-intercept from the equation: 

y = 2x - 8

m = 2

b: (0 , -8)

100

Explain what the rate of change and y-intercept mean from this graph.

m: 40 mi / hr

Every hour, 40 miles are traveled. 

b: ( 0, 0 )

At zero hours, 0 miles are traveled. 

100

Given slope and y-intercept, write the equation. 

m = -7

b: (0 , 3)

y = -7x + 3

100

State the x- and y-intercept of the equation. 

3x - 4y = 12

x - intercept: ( 4 , 0 )

y - intercept: ( 0 , -3 )

100

FREE POINTS

YAYYYY!!!!

100

Identify whether the function is linear or non-linear, explain why. 

Non-linear because it is not a straight line.

100

Given the graph, does the ordered pair (2,-2) match to the function for which it is a solution?

No

200

State the slope and y-intercept from the graph. 

m = 1

b: (0 , 0)

200

State which person had a greater rate of change. Explain your answer (with numbers). 

Pennington because he had a rate of change of 80 mi/hr compared to Williams with rate of 60 mi/hr. 

200

Given the graph, write the equation.

y = 3x + 2

200

State the x- and y-intercept of the equation. 

5x + 10y = 25

x - intercept: ( 5 , 0 )

y - intercept: (0 , 2.5)

200

Given f(x) = 4x - 3, if the slope doubled, explain what would happen with the graph of the new function. 

Which intercept stays the same? Which changes? Change of slope - faster, slower, same?

x-intercept changes

y-intercept stays the same

slope is at a faster rate

200

Identify whether the function is linear or non-linear, explain why.

Non-linear because there is not a constant rate of change. 

200

Given f(x) = -2x - 8, does the ordered pair (0,-8) match to the function for which it is a solution?

yes

300

State the slope and y-intercept from the graph. 

m = undefined 

b: none

300

Explain what the rate of change and y-intercept means from this table.

 m = $2.50 / food sample

For every food sample, cost increases $2.50. 

b: ( 0 , 5 )

At zero food samples, $5.00 are still spent due to the admission fee.  

300

Given the graph, write the equation. 

x = 2

300

State the x- and y-intercept of the equation. 

2x - 14y = -28

x - intercept: (-14 , 0)

y - intercept: (0 , 2)

300

Given f(x) = 10x +40, if the slope halved, explain what would happen with the graph of the new function. 

Which intercept stays the same? Which changes? Change of slope - faster, slower, same?

x-intercept changes

y-intercept stays the same

slope has a slower rate

300

Is the following a function or not a function? Explain why. 

Function because every input has exactly one output.

300

Given f(x) = -5x + 14, find when f(6). 

f(6) = -16

400

State the slope and y-intercept from the table. 

m = 

7 / 5

b: (0, 5)

400

Explain what the rate of change means from this table. Also, find the y-intercept. 

m = $39 / computer game

For every computer, the cost increases $39.00.

B: ( 0, 0 )

400

Given the table, write the equation. 

y = 3x + 1

400

Convert the equation to slope-intercept form. 

8x + 4y = 16

y = -2x + 4 

400

FREE POINTS

YAYYYYYY!!!!

400

Given the table, does it have a constant rate of change of -4? Decide if you agree or disagree, explain your reasoning. 

Disagree, slope is 4 and not -4.

400
Given f(x) = -7x - 5, find when f(-2).

f(-2) = 9

500

State the slope from the two ordered pairs. 

( -10, 8) and ( 8, 8)

m = 0

500

Given the equation explain what the rate of change and y-intercept mean. 

y = -2x +30

y: amount of water in the bucket (L)

x: time (minutes)


m = -2 L/min -- losing 2 L/min

Every minute, 2 liters are lost from the bucket. 

b: ( 0, 30)

At 0 minutes, there are 30 liters in the bucket. 

500

Given the ordered pairs, write the equation. 

( -4 , 3 ) and ( 5 , 3 )

y = 3

500

Convert the equation to slope-intercept form. 

3x -12y = 36

y = 1/4x-3

500

If the slope of the graph was halved, how would the line change - steeper or flatter?

Also state the original slope and y-intercept. 

Flatter Line

Original slope: 2 in/hr

b: (0 , 0)

500

Create an example of a mapping that is not a function. 

Answers vary.

500

Given f(x) = 8x - 24 and the domain {-2,0,1}, find the range.

Range = {-40,-24,-16}

600

State the slope and y-intercept from the two ordered pairs. 

(4 , 5) and ( 7, 11)

m = 2 

b: (0, -3)

600

Given the graph. Explain what the point (45, 28) means. 

After 45 years, the fig tree has grown to a diameter of 28 inches. 

600

Given the ordered pairs, write the equation. 

( 2 , 5 ) and ( 3 , 9 )

y = 4x - 3

600

Convert the equation to slope-intercept form. 

5x + 2y = 32

y=-5/2x+16

600

Given the graph, if the y-intercept change to (0,5), how would the graph change? (Line/steepness, y-intercept/change, graph/shift)

Line Steepness - no change

y-intercept - increases by 5

Graph - shifts up

600

Create a linear function in the form of a table.

Answers vary.

600

Given f(x) = 0.5x - 4 and the domain { -4, 1, 3}, find the range.

Range: {-6, -3.5, -2.5}

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