Question 939061
Find an equation of the line that passes through the two given points. Write the equation in slope-intercept form, if possible
 x | y
 -4| 2
 4| 0 
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slope = (2-0)/(-4-4) = 2/-8 = -1/4
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Form:
y = mx + b
0 = (-1/4)4 + b
b = 1
y = (-1/4)x + 1
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8.) There is a linear relationship between a woman's height and the length of her radius bone. It can be stated this way: Height increases by 3.9 inches for each 1-inch increase in the length of the radius. Suppose a 62-inch-tall woman has a 10-inch-long radius bone. Use this information to write a linear equation that relates height h to the length r of the radius. Write the equation in slope-intercept form.
Slope and Point :: m = 3.9 ; (10,62)
y = mx + b
62 = 3.9*10 + b
b = 23
y = 3.9x + 23
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 9.) Three months after cleanup began at a dump site, 880 cubic yards of toxic waste had yet to be removed. Two months later, that number had been lowered to 800 cubic yards.
Points:: (3,880) ; (5,800)
 (a) Find an equation that describes the linear relationship between the length of time m (in months) the cleanup crew has been working and the number of cubic yards y of toxic waste remaining. Write the equation in slope-intercept form.
slope = (800-880)/(5-3) = -80/2 = -40
y = mx + b
800 = -40*5 + b
b = 1000
y = -40x + 1000
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 (b) Use your answer to part (a) to predict the number of cubic yards of waste that will still be on the site one year after the cleanup project began.
f(12) = -40*12 + 1000 = -480+1000 = 520 cu yds
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Cheers,
Stan H.
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