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Linear Equations

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46. Technology. Driving down a mountain, Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.

16. Find the slope of any line perpendicular to the line through points (0, 5) and
(-3, -4).

28. Geometry. For the floor plans given in exercise 27, determine whether the side
through the points (2, 3) and (11, 6) is perpendicular to the side through the points
(2, 3) and (-3, 18).

6. rewrite into standard form (0,5) M = - 3/4

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)

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

36. L has y-intercept (0, -3) and is parallel to the line with equation Y= 2/3 X+ 1

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

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.

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Linear equation problems that find the slope are solved.

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46. Technology. Driving down a mountain, Tom finds that he has descended 1800 ft in elevation by the time he is 3.25 mi horizontally away from the top of the mountain. Find the slope of his descent to the nearest hundredth.

1 mile = 5280 feet
Slope = elevation change / distance in horizontal direction

16. Find the slope of any line perpendicular to the line through points (0, 5) and
(-3, -4).
The slope of the line through points (0, 5) and (-3, -4) is

The product of the slopes is -1 when two lines are perpendicular.
So the slope of the unknown line ...

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