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Answer those six questions in the picture: No. 40, No. 100 No. 20, No. 32 No. 16

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In Problems 35–42, graph the line containing the point P and having slope m.

35. P = (1, 2); m = 2

36. P = (2,1); m = 3

37.

39. P = (-1,3); m = 0

40. P = (2,-4); m = 0

41.

100. Electricity Rates in Florida Florida Power & Light Company

supplies electricity to residential customers for a monthly

customer charge of $5.69 plus 8.735 cents per kilowatt-hour

for up to 1000 kilowatt-hours.

(a) Find a linear equation that relates the monthly charge C,

in dollars, to the number x of kilowatt-hours used in a

month, 0 SXS 1000.

(b) Graph this equation.

(c) What is the monthly charge for using 200 kilowatt-hours?

(d) What is the monthly charge for using 500 kilowatt-hours?

(e) Write a practical sentence expressing how C changes for

every unit change in x.

Source: Florida Power & Light Company, January 2010.

In Problems 15-26, the given pairs of lines intersect. Find the point of intersection. Graph each pair of lines.

15. L: x + y = 5

16. L: 2x + y = 7

17. L:

x – y = 2

M: 3x – y = 7

M: x – y = -4

M: 2x + y = 7

19. L: 4x + 2y = 4

20. L: 4x – 2y = 8

21. L: 3x – 4y = 2

M: 4x – 2y = 4

M: 6x + 3y = 0

M: x + 2y = 4

23. L: 3x – 2y = -5 24. L: 4x + y = 6

25. L:

M: 3x + y = -2

M: 4x – 2y = 0

M: y = -2

X =

4

In Problems 29-34, find an equation for the line with the given properties. Express your answer using the general form or the slope-intercept

form, whichever you prefer.

29. Parallel to the line y = 4x; containing the point (-1,2) 30. Parallel to the line y = – 3x; containing the point (-1,2)

31. Parallel to the line 2x – y = -2; containing the point (0,0) 32. Parallel to the line x – 2y = -5; containing the point(0,0)

33. Parallel to the line x = 3; containing the point (4,2)

34. Parallel to the line y = 3; containing the point (4,2)

35. Find the equation of the line containing the point (-2,-5) 36. Find the equation of the line containing the point (-2,-5)

and parallel to the line containing the points (-2,9) and and parallel to the line containing the points (-4,5) and

(3,-10).

(2, -1).

price is $3,

une demand

uation.

16. Supply and Demand for a certain commodity the demand

equation is given by

D = -3p + 20

At a price of $1, four units of the commodity are supplied. If

the supply equation is linear and the market price is $4, find

the supply equation.

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point of intersection

Electricity Rates

Pairs of lines intersect

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