1. Which line has the equation: 33; = 12? 2. The line MN is the diameter of a circle where the coordinates of points M andN are M(33, 12) and N(21, 6). What is the center ofthe circle. 0 (1, 3) O (3,3) O (3, 4) O (0, 0) \f4. The line segment AB has the endpoints (-10, 7) and (-4, 16). Point C partitions the line at a ratio of 1 : 2 What are the coordinates of point C? O (-12, - 1) O (-8, 10) O (-16, 1) O (-11, 14) 5. Find the directrix for the parabola. y= -16 (X - 9)2 - 10 Of = -6 Oy= -10 -10 O y= -6 6. If AABC is reflected through they-axis, what would be the new coordinatesof point A? A(1, 3) C (5, 1) B(-3, -3) O (-1, 3) O ( -3, 3) O (3, - 3) O (1, - 3)7. Express the equation 5(3 + 5)2 : y 15 in the form y = a[m 7 h.)3 + A: O y=5(m5)3+15 O y=5(x5)315 O y=5(:c+5)3+15 oy=5(m+5)=15 a. A triangle has the coordinates ofA(13, 5), 3(5, 8}, and C17, 7) If the triangle is reected about the yaxis, what are the new coordinates for paint. C? The coordinates are given by (1:, y) where x = and y : 9. A line has the equation 3; = 5 Mat is the equation of the line perpendicular to this line and going through the point (6, 4)? E= 10. What are the coordinates of point C? V OD 6 OA -5 4 OC 3 2 -7-6-5-4-3-2-1 1 2 3 4 5 6 7 X -2 OH OF -3 -4 OE G -5 a O (1, 5) O ( -3, 3) O (-5, 12) O (6, - 1)11. What is the y intercept of 2x - 4y = 1? O -0.25 O 2.27 O 4.10 O 1.34 12. Two lines AB and CD have the points A(9, 0), B(24, - 3), C(-2, - 7) and D(-5, - 28). AB and CD are parallel. O True O False 13. Line AB has the endpoints A(3, 5) and B(12, 9) What are the a- and y-coordinates of point C that partitions AB at a 1 : 7 ratio. Where is point C? (4.1, 5.5) O (0.9, - 0.3) O (3.9, 0.9) O (-2.2, 5.3) 14. A line is given by the equation 9x - 5y = 96. What is the equation of the parallel line that passes through the point (9, - 2)? 5x + 9y = 99 5x + 9y = 79 O 9x + 5y = 90 O 9x - 5y = 91 15. Points A, B, and C have the coordinates A(6, 10), B(2, 14), and C(0, 2). Together the points make a triangle. What is the equation of the line that contains the altitude from C to AB? The equation is given by Ax + By = C. Where A = B= , and C =16. Write the standard form of an equation for the graph described. Line passing through (-2, -1) and perpendicular to the line whose equation is 5y + 2x = 30 5x - 2y = -8 O 5x + 2y = 8 O -5x + 2y = -8 O -5x - 2y = 8 17. Find the axis of symmetry and what direction the parabola opens. *More than one answer may be correct; check all that apply. or = (y + 7)2+30 Direction of opening: up Axis of symmetry: x = 6 Axis of symmetry: * = -7 Direction of opening: right Axis of symmetry: y = 6 Direction of opening: left Axis of symmetry: y = -7 Direction of opening: down 18. Line AB has the endpoints A(6, 4) and B(-2, 8) What are the r- and y-coordinates of point C that partitions AB at a 1 : 1 ratio. C is at ( 19. Express the equation ?(y - 4) = (x - 8) in the form y = a(x - h) + k, then identify a, h, and k. h= k=20. Find the slope-intercept form for the equation of the line which passes through the point (4, -14) and has a slope of - 3. Oy=-3x - 26 Oy= -3x - 2 Oy= -3x + 26 Oy=-3x +2 21. The quadrilateral KITE has the coordinates K"(-4, 1), I(-2, 4), T(0, 1), and E(-2, - 3). After a 2-unit translation up, what are the new set of coordinates? 1. E a. (-2, - 1) 2. T b. (-4, 3) 3. K' c. (-4, - 1) d. (-2, 6) 4. I' e. (-2, 2) f. (-2, - 5) g. (0, - 1) h. (0, 3) 22. Three points on a coordinate plane, A, B and C make a triangle and have the coordinates A(4, 11), B(-3, 10) and C(10, 9). What is the length of AB. AB23. A circle has a center point at the coordinates P(77, 10) with a diameter line RT, where point R has the coordinates at R(27, 25). What are the wardinatee ofpaint T? O (13, 75) O (8. *4) O (21, 710) O (12, 713) 24, Write an equation of a line in slowintercepl: form for the given conditions. slope = % and passes through the origin (Hint: Remember the origin is an ordered pair.) y= \\F 25. What are the coordinates of point G? OD in a OB -2 -7-6-5-4 -35-2-1 1 2 3 4 5 6 F X OH OJ OG OI O (2, -9) O (-12, -2) O (-7, - 4) O (-9, -13)26. The three points A, B and C make a triangle and have the coordinates A(1, - 4), B(5, 6), and C(-34, - 14). What type of triangle is it? O Right O Isosceles O Scalene O Equilateral 27. If a line through the points (10, 5) and (-2, y) is perpendicular to the line 4x + 5y = 56, what is the value of y? Oy= -12 O y= -10 Oy=-14 Oy= -18 28. A triangle has the coordinates of A(-5, 5), B(-2, 9), and C(22, -15). If the triangle is reflected about the y-axis, what are the new coordinates for point C? O (-22, - 15) O (22, 15) O (15, - 22) O (-15, 22) 29. The line segment AB has the endpoints A(9, 2) and B(3, - 1). Point C partitions the line at a ratio of 2 : 1. What are the coordinates of point C"? O (9, -6) O (1, 1) O (8, 5) O (5, 0) 30. What is the slope from(-4, - 4) to (0, 6)? m =31. In which quadrant would you find the point (5, - 6)? O III OI O II O IV 32. Name the relationship* of the lines which have equations of c+zy = -12 and x = - zy-1. *More than one answer may be correct; select all that apply. O intersecting not enough information to tell parallel perpendicular 33. A line is given by the equation z = -43. What is the equation of the perpendicular line that passes through the point (-33, -23)? O y =-5 Oy= -23 Oy= -16 Oy= -53