Exam 10: Graphing Equations and Inequalities

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Use the slope-intercept form to graph the equation. -2x + 3y = 6 Use the slope-intercept form to graph the equation. -2x + 3y = 6

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Identify the intercepts. -Identify the intercepts. -

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Decide whether a line with the given slope is upward sloping, downward sloping, horizontal or vertical. - m=53m = \frac { 5 } { 3 }

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Graph the inequality. -x > -8 Graph the inequality. -x > -8

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Write a direct variation equation, y = kx, that satisfies the ordered pairs in the table. - 0 -4 -14 0 2 7

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Find the slope of the line. - y=16x+13y = \frac { 1 } { 6 } x + \frac { 1 } { 3 }

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Graph the linear equation. - y=612y = - 6 \frac { 1 } { 2 }  Graph the linear equation. - y = - 6 \frac { 1 } { 2 }

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Write the equation of the line with the given slope, m, and y-intercept, (0, b). -m = 9; b = -8

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Find the slope of the line and write the slope as a rate of change. Don't forget to attach the proper units. -The graph shows the total cost y (in dollars)of owning and operating a minivan where x is the number of miles driven. Find the slope of the line and write the slope as a rate of change. Don't forget to attach the proper units. -The graph shows the total cost y (in dollars)of owning and operating a minivan where x is the number of miles driven.

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Use two points on the graph to find the slope of the line. -Use two points on the graph to find the slope of the line. -

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Graph the linear equation by finding and plotting its intercepts. -x = -4y Graph the linear equation by finding and plotting its intercepts. -x = -4y

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Fill in the blank with one of the words or phrases listed below. y-axis x-axis solution linear standard point-slope x-intercept y -intercept y x slope relation domain range direct inverse slope-intercept function -A(n)_______equation can be written in the form Ax + By = C.

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Graph the linear equation. -y = 4x Graph the linear equation. -y = 4x

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Use two points on the graph to find the slope of the line. -Use two points on the graph to find the slope of the line. -

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Graph the linear equation by finding and plotting its intercepts. -15y - 5x = -10 Graph the linear equation by finding and plotting its intercepts. -15y - 5x = -10

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Solve. -The table shows the number of cans of soda sold at a campus stand on five days with different high temperatures for the day. Write each paired data as an order pair of the form (temperature, cans). Then create a scatter diagram of the ordered pairs. Cans of Soda Sold Based on Temperature High Temperature (in degrees Fahrenheit) Number of Cans Sold 70 325 75 350 80 440 85 470 90 575

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Solve. Assume the exercise describes a linear relationship. When writing a linear equation, write the equation in slope-intercept form. -In 1860 the population of a midwest city was 20,000. By 1890 it had grown to 24,000. If it continues to grow at the same rate, what will the population be in 1916? Give your answer to the nearest whole number.

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Complete the ordered pairs for the given linear equation. Then plot the points and graph the equation by connecting the points. - y=x+2y = x + 2 (5,),(3,),(0,)( 5 , \quad ) , ( - 3 , \quad ) , ( 0 , \quad )  Complete the ordered pairs for the given linear equation. Then plot the points and graph the equation by connecting the points. - y = x + 2   ( 5 , \quad ) , ( - 3 , \quad ) , ( 0 , \quad )

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Complete the table of ordered pairs for the given equation. Then plot the ordered pair solutions. -3x + 2y = 6 x y 0 0 1 -3  Complete the table of ordered pairs for the given equation. Then plot the ordered pair solutions. -3x + 2y = 6  \begin{array}{c|c} x & y \\ \hline 0 & \\ & 0 \\1 \\ & -3 \end{array}

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Determine if the relation is also a function. -Determine if the relation is also a function. -

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