# linear equation and graph

please show your work.

1. Use the equation below and the indicated value to find an ordered pair that is a solution.

y = 2x - 1 let x = 6

2. Complete the table of values for the equation 6x + 2y = 72.

3. Decide whether the ordered pair (9,5) is a solution of the equation. x + y = 9

4. Find the value of the expression: 44 - 4(3 + 7)

5. Find the intercepts for the graph of the equation given: 3x - 4y = 36

6. Find the intercepts for the graph of the equation given. 3x - 8y = 48

7. Simplify the expression using the order of operations. 5(3 + 6) + 3(4-3) / 3(9-2) -3^2

8. Graph the linear equation. X - y = 5

9. Find the intercepts and then use them to graph the equation. 3x + y = 6

10. simplify the expression and combine like terms.

11. graph the equation by plotting points. Y - 5x = 0

12. Find the slope, if it exists, of the line containing points. (-19, -16) and (-20, -18)

13. Find the slope, if it exists, of the line containing points. (4, 0) and (0, -8)

14. Simplify the expression and combine the like terms.

15. Find the slope, if it exists, of the line containing points. (-2, -1) and (2, -9)

16. Find the slope of the line shown on the graph to the right.

17. Give the slope of each line and then determine whether the two lines are parallel, perpendicular, or neither.

4x + 5y = 5

-15x + 12y = 0

18. Give the slope of each line and then determine whether the two lines are parallel, perpendicular, or neither.

-4x + 3y = 3

5x + 2y = 0

19. Find the slope-intercept equation of the line that has the given characteristics.

Slope is -8 and y-intercept (0, 6).

20. Convert the following phrase into a mathemactical expression. Use x as the variable, and combine like terms.

Eight times a number, added to the sum of the number and nine

21. Write an equation for the line shown on the right.

22. Find an equation of the line having the given slope and containing the given point.

M = 6, (2, 1)

23. Find an equation of the line having the given slope and containing the given point.

M = 2/3, (8, -6)

24. Find an equaiton of line containing the given pair of points. (-2, - 9) and (-6, -8).

25. Find an equation of the line having the given slope and containing the given point.

M = 8, (5, 1)

#### Solution Summary

It provides detailed explanations of linear equation and its graph. The solution is detailed and well presented.