# Graphing and Line Equations

Write the equation of the line passing through each of the given points with the indicated

slope. Give your results in slope-intercept form, where possible.

See attached file for full problem description.

Section 7.3 pp.634-636 6 (rewrite into standard form) 20,24,36,40,52

Write the equation of the line passing through each of the given points with the indicated

slope. Give your results in slope-intercept form, where possible.

6. (0, 5), m=

+y

9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

Write the equation of the line passing through each of the given pairs of points. Write your

result in slope-intercept form, where possible.

20. (-1, 3) and (4, -2)

+y

9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

24. (2, -3) and (2, 4)

+y

9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

Write the equation of the line L satisfying the given geometric conditions.

36. L has y-intercept (0, -3) and is parallel to the line with equation y =

9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

40. L has y-intercept (0, 2) and is perpendicular to the line with equation 2x - 3y = 6.

9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

52. Business and finance. In planning for a new item, a manufacturer assumes that

the number of items produced x and the cost in dollars C of producing these items

are related by a linear equation. Projections are that 100 items will cost $10,000 to

produce and that 300 items will cost $22,000 to produce. Find the equation that

relates C and x.

9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

54. Business and finance. Two years after an expansion, a company had sales of

$42,000. Four years later the sales were $102,000. Assuming that the sales in dollars

S and the time in years t are related by a linear equation, find the equation

relating S and t.

9

8

7

6

5

4

3

2

1

-x -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 +x

-1

-2

-3

-4

-5

-6

-7

-8

-9

-y

#### Solution Summary

Graphing and Line Equations are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.