Exam 5: Coordinate Geometry and Linear Systems

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Find the slope of the line determined by this pair of points. (-12, -12), (-6, -20)

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Match the equations with their graphs. -Match the equations with their graphs. -

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Find the slope of the line 9 x - 2 y = - 10 by finding the coordinates of two points on it.

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Find the equation of the line with the given slope and y -intercept. Express the final equation in slope-intercept form. m=211,b=2m = \frac { 2 } { 11 } , b = 2

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Plot the points on a rectangular coordinate system, and determine if the points fall in a straight line. (1,4),(4,1),(5,0),(6,1)( - 1,4 ) , ( - 4,1 ) , ( - 5,0 ) , ( - 6 , - 1 )

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Find the equation of the line that contains the two given points. Express the equation in the form Ax+By=CA x + B y = C , where A , B , and C are integers. ( 3, 1), (2, 5)

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Find the equation of the line with the given slope and y -intercept. Express the final equation in slope-intercept form. m=17,b=6m = - \frac { 1 } { 7 } , b = - 6

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At $0.07 per kilowatt-hour, the equation A=0.07tA = 0.07 t determines the amount, AA , of an electric bill for tt hours. Identify the correct table of values.

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What inequality is illustrated below? What inequality is illustrated below?

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Graph of what equation is represented on the figure? Graph of what equation is represented on the figure?

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Use the elimination-by-addition method to solve the system. (7x+y=472x3y=3)\left( \begin{array} { c } 7 x + y = 47 \\2 x - 3 y = - 3\end{array} \right)

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Chase is studying the monthly percent changes in the stock price for two different companies. Using the data in the table below, plot the points for each month. Let the percent change for XM Inc. be the first number of the ordered pair, and let the percent change for Icom be the second number in the ordered pair. Jan. Feb. Mar. Apr. May Jun. XM Inc. 33 3- 3 3- 3 55 1- 1 0 Icom 2- 2 55 22 6- 6 1- 1 11

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Solve the system by using the substitution method. (5x4y=1x=4y11)\left( \begin{array} { c } 5 x - 4 y = 1 \\x = 4 y - 11\end{array} \right) Please enter your answer as an ordered pair in the form ( x , y ).

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Match the equations with their graphs. -Match the equations with their graphs. -

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Find the slope of the line determined by this pair of points. (6, 9), (9, 5)

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Solve the problem below by setting up and solving a system of two linear equations in two variables. Three lemons and 2 apples cost $2.83. Two lemons and 3 apples cost $2.77. Find the cost of 1 lemon and the cost of 1 apple. Cost of 1 lemon $__________ Cost of 1 apple $__________

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What inequality is illustrated below? What inequality is illustrated below?

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A line is determined by the pair of points, (3,9)( 3,9 ) and (8,2)( 8,2 ) . The slope of the line is

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A system of equations in two variables will contain only two equations.

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Find the equation of the line with the given slope and y -intercept. Leave your answer in slope-intercept form. m=7 and b=57m = - 7 \text { and } b = \frac { 5 } { 7 }

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