Exam 5: Coordinate Geometry and Linear Systems

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

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The abscissa is the directed distance of the point from the horizontal axis measured parallel to the vertical axis.

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Solve the problem by setting up and solving a system of two linear equations in two variables. Chip downloaded 21 songs for his MP3 player for a total cost of $22.20. The songs from Muchmore Music cost $1.00 each, and the songs from iTunes cost $1.20 each. How many songs did Chip download from each service?

(Multiple Choice)
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Find the equation of the line that contains the two given points. (5,−7),(−4,4)( 5 , - 7 ) , ( - 4,4 )

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Find the equation of the line that contains the given point and has the given slope. m = -5, (3, 2)

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Match the following inequalities with the corresponding graph. -Match the following inequalities with the corresponding graph. -

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Graph the linear equation. 2x−y=62 x - y = 6

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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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Find the equation of the line with the given slope and y -intercept. Express the final equation in slope-intercept form. m=−52,b=0m = - \frac { 5 } { 2 } , b = 0

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Find the slope of the line determined by this pair of points. (8, 3), (18, 6)

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Find the equation of the line that contains the given point and has the given slope. (−2,−3),m=15( - 2 , - 3 ) , m = \frac { 1 } { 5 }

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

(Short Answer)
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Graph the inequality. y≥−15x+3y \geq - \frac { 1 } { 5 } x + 3

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Indicate the solution set for the system of linear inequalities by shading the appropriate region. (x−2y≥25x+y≤5)\left( \begin{array} { l } x - 2 y \geq 2 \\5 x + y \leq 5\end{array} \right)

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Find the slope of the line −- 8 x + 5 y = 9 by finding the coordinates of two points on it.

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Find the equation of the line that contains the given point and has the given slope. (−7,−7),m=−211( - 7 , - 7 ) , m = - \frac { 2 } { 11 }

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A line is determined by the pair of points, (9,2)( 9,2 ) and (4,−5)( 4 , - 5 ) . Is the slope of the line positive, negative, zero, or undefined?

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The test point will be on the inequality line if the inequality is less than ( ).

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

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Write the equation of the line that satisfies the given condition: contains the point (-1, 1) and is parallel to the line x + 2 y = 3. Simplify your answer as much as possible. Express the final equation in standard form.

(Short Answer)
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