Tables
Linear vs. Nonlinear
Finding b
What the heck
Miscellaneous
100

Write the equation in slope-intercept form for the table below.

x:  0     1       2       3        4

y:  3   - 1    - 5     - 9    - 13

y = - 4 x + 3

100

Determine if the table represents a linear relationship.  If yes, write an equation in slope-intercept form.

x:  5     10     15     20

y:  7      9      11     13

Yes.  y = 2/5x + 5

100

Write the slope-intercept form of the equation of the line through the given point with the given slope.

through (4, 1), slope = 3/4

y = 3/4 x - 2

100

Write the slope-intercept form of the equation of the line through the given points.

through (2, - 2) and (3, 0)

y = 2 x - 6

100

Write the slope-intercept form of the equation given:

Slope = 9/4     y-int = - 4

y = 9/4x - 4

200

Write a linear equation that relates x and y for the given table:

x:  2    4     6     8

y:  5    8    11    14

y = 3/2 x + 2

200

Determine if the table represents a linear relationship.  If yes, write an equation in slope-intercept form.

x:  1     2     4     5     6     7  

y:  4     6     8     10    12   14       

No.

200

Write the slope-intercept form of the equation of the line through the given point with the given slope.

through (- 1, 3), slope = - 4

y = - 4 x - 1

200

Write the slope-intercept form of the equation of the line through the given points.

through (2, 4) and (3, 1)

y = - 3 x + 10

200

Write the slope-intercept form of an equation and solve for the correct answer.

A sales associate is given a $400 hiring bonus with a new job. She  earns an average commission of $275 per week for the next 9 weeks. How much does she earn?

y = 275x + 400

After 9 weeks she makes: $2,875

300

Write a linear equation that relates x and y for the given table:

x:  0    3     6     10

y:  2    8    14    22

y = 2x + 2

300

Determine if the table represents a linear relationship.  If yes, write an equation in slope-intercept form.

x:  1     2     3     4       5     6      7

y:  0     3     8     15    24    35    48

No.

300

Write the slope-intercept form of the equation of the line through the given point with the given slope.

through (3, - 4), slope = - 4/3

y = - 4/3 x

300

Write the slope-intercept form of the equation of the line through the given points.

through (3, -1) and (4, -3)

y = - 2 x + 5

300

Write the slope-intercept form of an equation and solve for the correct answer.

A water tank holds 26,000 gallons. How long will it take for the water level to reach 4,000 gallons if the water is used at an average rate of 500 gallons per day?

y = -500x + 26,000

It will take 44 days for the water level to reach 4,000 gallons.

400

Write the equation in slope-intercept form for the table below.

x:  1    2    3     4     5

y:  1    5    9    13   17  

y = 4x - 3

400

Determine if the table represents a linear relationship.  If yes, write an equation in slope-intercept form.

x:  2     4     6     8     10     12     14

y:  0     1     2     3     4       5       6

Yes.    y = 1/2 x - 1

400

Write the slope-intercept form of the equation of the line through the given point with the given slope.

through (2, -2), slope = 0

y = - 2

400

Write the slope-intercept form of the equation of the line through the given points.

through ( - 3, 2) and (5, 5)

y = 3/8 x + 25/8

400

Write the slope-intercept form of an equation for the graph below.


m = 20

b = 0

y = 20x

500

Write the equation in slope-intercept form for the table below.

x: 0     1    2    3     4

y: 0   2.5   5   7.5   10

y = 2.5x

500

Determine if the table represents a linear relationship.  If yes, write an equation in slope-intercept form.

x:  1     4     6      7      10     12     16

y:  2   - 1   - 3   - 4    - 7     - 9     - 13

Yes.  y = - 1 x + 3

500

Write the slope-intercept form of the equation of the line through the given point with the given slope.

through (5, 1), slope = - 1/3

y = - 1/3 x + 8/3

500

Write the slope-intercept form of the equation of the line through the given points.

through (1, 4) and (8, - 4)

y = -8/7 x + 36/7

500

Write the slope-intercept form of an equation for the graph below.


m = -5

b = 35

y = -5x +35

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