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39 votes
39 votes
The line given by -18x+7y=21 is dilated by a scale factor centered at the origin. The image of the line after dilation is given by y= 18/7x+6. What is the scale factor of the dilation?

User Osondu
by
2.5k points

2 Answers

22 votes
22 votes

Answer:

3 units in the vertical direction

Explanation:

-18x + 7y = 21 → 7y = 18x + 21 → y = 18/7x + 3

6-3=3

User Kunal Roy
by
2.6k points
6 votes
6 votes

Answer:

2

Explanation:


-18x+7y=21\\\\\implies y=(18)/(7)x+3

when x = 0, y = 3


y=(18)/(7)x+6

when x = 0, y = 6

Therefore, the scale factor is 2 since the y coordinate has double: 3 x 2 = 6

User Mrek
by
3.3k points