Exam 1: Straight Lines and Linear Functions

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Find an equation of the circle that satisfies the given conditions. Radius 3 and center ( Find an equation of the circle that satisfies the given conditions. Radius 3 and center (   7,   8) 7, Find an equation of the circle that satisfies the given conditions. Radius 3 and center (   7,   8) 8)

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Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b . Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b .

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Find an equation of the line passing through the origin and parallel to the line passing through the points (2,13) and (5,25).

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Find an equation of the circle that satisfies the conditions. Center Find an equation of the circle that satisfies the conditions. Center   and passes through    and passes through Find an equation of the circle that satisfies the conditions. Center   and passes through    Find an equation of the circle that satisfies the conditions. Center   and passes through

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Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The lines with equation Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The lines with equation   and   , where   and   , are perpendicular to each other.  and Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The lines with equation   and   , where   and   , are perpendicular to each other.  , where Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The lines with equation   and   , where   and   , are perpendicular to each other.  and Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The lines with equation   and   , where   and   , are perpendicular to each other.  , are perpendicular to each other. Determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false. The lines with equation   and   , where   and   , are perpendicular to each other.

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Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located. Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.

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The accompanying table gives the projected state subsidies (in millions of dollars) to the Massachusetts Bay Transit Authority (MBTA) over a 5-yr period. The accompanying table gives the projected state subsidies (in millions of dollars) to the Massachusetts Bay Transit Authority (MBTA) over a 5-yr period.   Find an equation of the least-squares line for these data. Use the result to estimate the state subsidy to the MBTA for the sixth year (x = 6). Find an equation of the least-squares line for these data. Use the result to estimate the state subsidy to the MBTA for the sixth year (x = 6).

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Match each graph below with the letter of the corresponding slope description. a.The slope of the line is zero. b.The slope of the line is negative, and its y-intercept is negative. c.The slope of the line is positive, and its x-intercept is positive. -Match each graph below with the letter of the corresponding slope description. a.The slope of the line is zero. b.The slope of the line is negative, and its y-intercept is negative. c.The slope of the line is positive, and its x-intercept is positive. -

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