A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 3 years 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.
anonymous
 3 years 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.

This Question is Closed

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0Point 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)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.