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Published byBlaise Taylor Modified over 8 years ago
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1 Find the equation of the line that goes through the points (-3, 6) and (-2, 4). y = -2x
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2 Write the equation, in standard form, of the line that passes through (-2, 5) and (3, 1)
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3 Write the equation of the line, in standard form, with slope and containing the point (4, -1). 3x + 4y = 8
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4 Given that M is the midpoint of PT, find the coordinates of T if P is (6, -2) and M is T is (2, -9)
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5 Find the equation of the perpendicular bisector of AB for A(1, 3) and B(-3, 5) y = 2x + 6 or 2x – y = - 6
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6 Find the midpoint of the line segment AB given A(-5, -3) and B(9, 3) (2, 0)
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7 Find the distance between (2, -4) and (-5, -1) 7.62
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8 Find the negative value of b given that the distance between (-2, 5) and (3, b) is -1 = b
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9 A line passes through the point (-5, -7) and has a slope of 10. Write the equation for this line in slope-intercept form. y = 10x + 43
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10 Graph x + 2y = 4
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Write the equation of the graph below. 11
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12 Graph x = -2
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13 Graph 3x – 5y = 15 by finding the x- and y-intercepts x-intercept: 3x – 5(0) = 15 x = 5 (5, 0) (0, -3) y-intercept: 3(0) – 5y = 15 y = -3
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14 Graph the line with slope 0 and containing the point (3, -5)
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15 Given points A(1, 3), B(-2, 0), C(6, 4) and D(t, -1) find t if AD is perpendicular to BC
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16 Use midpoints to find the fourth vertex of the given parallelogram. (-2, 0)
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(-2, 1) Use technology to find the point of intersection of 5x – y = -11 and 4x + 12y = 4. 17
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Use technology to find the point of intersection of 3x – y = -5 and y – 3x = -2. 18 No solution
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19 Find the slope of the line that passes through the points (5, 0) and (1, 3).
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20 Write the equation, in standard form, of the line containing the point (-1, 3) and parallel to the line 3x + 7y = 70. 3x + 7y = 70
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parallel Write, in standard form, the equation of the line parallel to x – y = 4 and going through the point (2.5, 6.8) 21 -43 = 10x – 10y
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perpendicular Write the standard form of the equation of the line perpendicular to x – 6y + 30 = 0 and passing through the point (5, 3) 22 6x + y = 33
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Write, in slope-intercept form, the equation of the line that passes through (3, -5) and is perpendicular to x + y = 10 y = x – 8 23
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24 Use the distance formula to determine if triangle ABC is scalene, isosceles or equilateral. A(2, 1) B(3, -2) C(5, 2). isosceles
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