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?