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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 =

+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.

+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

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.

+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

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.

+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

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