MATH 101: GRAPH AND WRITE EQUATIONS AND INEQUALITIES/Graphing Lines

Module 3 - Case

Graph and Write Equations and Inequalities

Assignment Expectations

Complete the following problems using the Case 3 Answer Template. Here are some formulas and equations you will use in this section.

Slope:  m = change in y = y2-y1                    change in x    x2–x1

Slope-intercept form:  y = mx + b

Point-slope form:  y-y1= m(x-x1)

Standard form:  Ax + By = C; where A is a positive value

 

Find the slope of the points. Reduce to lowest terms.

1.  (0, -2) (4, 6)

2.  (7, 3) (9, 3)

3.  (5, 2) (1, 5)

4.  (12, 4) (12, 6)

 

Identify the slope and y-intercept in the following equations.

5. 2x+3y=8

6. 6x=y+1

 

7. Write an equation of a vertical line passing through the point (6, 3).

8. Write an equation of a horizontal line passing through the point (2, 8).

9. Write an equation of a line in slope-intercept form with a slope of -4 and passing through the point (0, -3).

10. Write an equation of a line in slope-intercept form with a slope of 1/2 and passing through the point (0, 6).

11. Write an equation of a line in point-slope form with a slope of -3/4 and passing through the point (1, -5).

12. Write an equation of a line in standard form with a slope of -8 and passing through the point (-10, 2).

13. Write an equation of a line passing through the points (-2, -1) and (0, 4). Write the final answer in slope-intercept form. 

14. Write an equation of a line passing through the points (-3, 6) and (-5, 3). Write the final answer in slope-intercept form. 

Graph the following equations and inequalities on a coordinate plane, shading the solution set where necessary.

Note: When completing this assignment in the Case 3 Answer Template, go to "insert" and "shapes." Choose the circles for the points and the lines to connect the dots. Use the arrows to represent the shading.

For example:

15.  y= 4x-2

16.  2x+5y=10

17.  x=3 and y=6

18.  3x+5y ≤ 15

19.  y < -2x-3

20.  x > 4 and y ≤ -1