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2 answers:
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Given:
The equation of a line is:
The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:
For ,
For ,
Divide both sides by 2.
The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then
Using this rule, we get
Similarly,
The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:
Multiply both sides by 2.
Therefore, the equation of the line after the dilation is .