Exam 8: The Slope of a Line

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Solve for Solve for   .  . Solve for   .

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Write the equation of the line with the slope Write the equation of the line with the slope   and y -intercept   . and y -intercept Write the equation of the line with the slope   and y -intercept   . .

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The volume of a gas is inversely proportional to the pressure. If a pressure of 27 pounds per square inch corresponds to a volume of 40 cubic feet, what pressure is needed to produce a volume of 120 cubic feet?

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Let Let   and   . Find the function   . and Let   and   . Find the function   . . Find the function Let   and   . Find the function   . .

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r is inversely proportion to s . If r is 6 when s is 6, find s when r is 216.

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d varies directly with the square of r . If d = 15 when r = 3, find d when r = 9.

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Give the slope and y -intercept for the following equation. Sketch the graph using the slope and y -intercept. Give the slope of any line perpendicular to the given line. Give the slope and y -intercept for the following equation. Sketch the graph using the slope and y -intercept. Give the slope of any line perpendicular to the given line.

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r is inversely proportional to s . If r is - 3 when s is 20, find r when s is 5. r = __________

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Find the equation of the line that passes through the pair of points. Write your answer in standard form. Find the equation of the line that passes through the pair of points. Write your answer in standard form.

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Straight-line depreciation is an accounting method used to help spread the cost of new equipment over a number of years. It takes into account both the cost when new and the salvage value, which is the value of the equipment at the time it gets replaced. The function Straight-line depreciation is an accounting method used to help spread the cost of new equipment over a number of years. It takes into account both the cost when new and the salvage value, which is the value of the equipment at the time it gets replaced. The function   where V is value and t is time in years, can be used to find the value of a large copy machine during the first 7 years of use. After how many years will the copier be worth only $6,000? Round your answer to the nearest hundredth.  where V is value and t is time in years, can be used to find the value of a large copy machine during the first 7 years of use. After how many years will the copier be worth only $6,000? Round your answer to the nearest hundredth. Straight-line depreciation is an accounting method used to help spread the cost of new equipment over a number of years. It takes into account both the cost when new and the salvage value, which is the value of the equipment at the time it gets replaced. The function   where V is value and t is time in years, can be used to find the value of a large copy machine during the first 7 years of use. After how many years will the copier be worth only $6,000? Round your answer to the nearest hundredth.

(Multiple Choice)
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A rectangle is 4 inches longer than it is wide. Let x = the width, P = the perimeter and A = the area of the rectangle. Write an equation that will give the perimeter P in terms of the width x of the rectangle.

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y varies inversely with the square of x . If y = 50 when x = 5, find y when x is 2.

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Does the graph represent a function? Does the graph represent a function?

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Given f ( x ) = x 2 - 3 x - 10 and g ( x ) = x - 4, find the following. Given f ( x ) = x 2 - 3 x - 10 and g ( x ) = x - 4, find the following.

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Find the equation of the line with x -intercept 9 and y -intercept 2.

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Find the slope of the line from the graph. Find the slope of the line from the graph.

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Find the equation of the line that passes through the pair of points. Write your answer in standard form. Find the equation of the line that passes through the pair of points. Write your answer in standard form.

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Let Let   Evaluate  Evaluate Let   Evaluate

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Let Let   and   Evaluate     __________ and Let   and   Evaluate     __________ Evaluate Let   and   Evaluate     __________ Let   and   Evaluate     __________ __________

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Let Let   Evaluate  Evaluate Let   Evaluate

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