Graphing Worksheet Name ________________________________ slope

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Graphing Worksheet Name ________________________________

1. Find the slope between points (3, 5) and (-1, 7). 2. Find the slope between points (-8, 0) and (-6, 6).

Write your answer in reduced form. Write your answer in reduced form.

Write the equation of the following graphs in slope-intercept form.

3. 4.

_________________________

Graph the following lines from the equation.

5.

y

  x

3

___________________________

6.

y

1

2 x

4

7. Write the equation of the line that goes through the points (4, 0) and (-2, 3) in Slope-Intercept form.

8. Write the equation of the line that goes through the points (-3, 8) and (6, 5) in Slope-Intercept form.

Graph the following lines from the equation.

9.

y

3

 

2 ( x

4 ) 10.

y

1

1

2

( x

3 )

Write the coordinates for the x - and y -intercepts and then graph the following equation.

11. 7 x – 2 y = 14

12. -3 x + 4 y = -18

13. Graph y = -5 and x = 3 on the same graph.

15. y

 

5

6 x

1

Write in General form.

2

14. Graph y x = 1 and

1

2 x

3

16 . Write in General form.

4 y = -6 on the same graph.

17. Write 4 x – 3 y = -18 in Slope-Intercept form. 18. Write -2 x – 5 y = 20 in Slope-Intercept form.

19. Write the equation of the line containing the points (-2, 4) and (4, 1) in

a) Point-Slope form b) Change the equation from (a) to Slope-Intercept form

20. Write the equation of the line containing the points (-5, 7) and (-2, 1) in

a) Point-Slope form b) Change the equation from (a) to Slope-Intercept form

21. The equation y = 42 x + 75 represents the total cost spent on a gym membership ( y ) over a period of months ( x ).

a) What does the slope represent in the situation? b) What does the y -intercept represent?

c) If a person is a member for 18 months, how much total money has he/she spent on the membership? Show

your work!

22. Use the graph to the right to answer the following questions about the cost for a catered event.

a) Write an equation for the linear function.

b) Interpret the slope—what does it represent in the situation?

c) Interpret the y -intercept—what does it represent in the situation?

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