Precalculus chapter 1 test

Find the distance between P₁=(2,-3) and P₂=(4,2).

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Find the midpoint of the line segment joining P₁=(-4,-3) and P₂=(2,2).

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The midpoint of the line segment from P₁ to P₂ is (-5,4). If P₂=(7,-2), what is P₁?

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Plot (2,3) and (4,0) and determine the slope of the line containing them. Graph the line.

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Graph the line that contains point (1,3) and has the slope -2/5. Find the point-slope form of the equation of the line.

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Find the slope-intercept form for the line that is parallel to the line y=2x and contains the point (-1,2).

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Find the slope-intercept form that is perpendicular to the line x-2y=-5 and contains the point (0,4).

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Write the standard form of the equation and the general form of the equation of the circle with the following information:

r = 5

(h, k) = (1, 0).

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A student stated that the center and radius of the graph whose equation is (x+3)² + (y-2)² = 16 are (3, -2) and 4, respectively. Why is this incorrect? Explain using complete sentences.

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For the circle (x + 3)² + (y - 2)² = 16, find the intercepts, if any, of its graph.

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