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The endpoints of line AB A(9, 4) and B(5, –4). The endpoints of its image after a dilation are A'(6, 3) and B'(3, –3). What is the scale factor? Explain how you found your answer.
 one year ago
 one year ago
The endpoints of line AB A(9, 4) and B(5, –4). The endpoints of its image after a dilation are A'(6, 3) and B'(3, –3). What is the scale factor? Explain how you found your answer.
 one year ago
 one year ago

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KuuttboylifeBest ResponseYou've already chosen the best response.2
Point A: (9, 4) ==> (6, 3) The slope of the line it is traveling on is: m = (y1y2) / (x1  x2) = (43)/(96) = 1/3 and the equation for the line is: y  y0 = m(x  x0) y  4 = (1/3)(x  9) y = (1/3)(x  9) + 4 y = (1/3)(x)  3 + 4 y = (1/3)x +1 For Point B: (5, 4) ==> (3, 3) The slope of the line it is traveling on is: m = (y1y2) / (x1  x2) = (4(3))/(53) = 1/2 and the equation for the line is: y  y0 = m(x  x0) y  (4) = (1/2)(x  5) y + 4 = (1/2)x + 5/2 y = (1/2)x + 5/2  4 y = (1/2)x + 3/2 To find the center, find the point of intersection: (1/3)x +1 = (1/2)x + 3/2 2x + 6 = 3x 9 5x = 15 x = 15/5 x = 3 Then substitute into *either* equation: y = (1/3)x +1 y = (1/3)(3) +1 y = 1 +1 y = 0 Center = (3,0)
 one year ago
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