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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?

Sagot :

Ganjilaya2019idn

Answer:

3 units in the vertical direction

Step-by-step explanation:

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

6-3=3

Semsee45idn

Answer:

2

Step-by-step explanation:

[tex]-18x+7y=21\\\\\implies y=\dfrac{18}{7}x+3[/tex]

when x = 0, y = 3

[tex]y=\dfrac{18}{7}x+6[/tex]

when x = 0, y = 6

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

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