# Equations and graphing

See attached file for full problem description.

1. Rewrite the equation 4x - 10y = 11 as a function of x.

2. Write the equation of the line that passes through point (1, -8) with a slope of 0.

3. Given f(x) = 5x2 - 3x + 1, find f(-2).

4. Write the equation of the line passing through (-6, -3) and (-6, 1).

5. One day, the temperature at 9:00 A.M. was 42Â°F, and by 2:00 P.M. the temperature was 57Â°F. What was the hourly rate of temperature change?

6. Find the slope of any line perpendicular to the line through points (6, 3) and (7, 7).

7. Match the graph with one of the equations.

8. Find the slope and y-intercept.

x = -8

9. Solve the following system of linear inequalities by graphing.

x - 2y  4

x  4

10. Solve the following system of linear inequalities by graphing.

x + 2y  3

2x - 3y  6

11. Solve the system by addition or substitution.

4x - 4y = -8

y = 2 + x

12. Solve the system by substitution.

5x + 3y = -19

y = -2x - 8

13. Solve the system by addition.

-4x + 7y = -10

x - 5y = 9

14. Graph the inequality.

2x + 3y > 6

15. Write the equation of the line with x-intercept (12, 0) and y-intercept (0, 4).

https://brainmass.com/math/basic-algebra/equations-and-graphing-102963

#### Solution Summary

This provides several examples of working with graphing inequalities and equations and solving systems of linear equations.