in ΔABC, ∠ABC is a right angle, AB = 3 units, and BC = 2 units. ΔABC is dilated by a scale factor of 0.5 with point B as the cen
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To solve this problem you must apply the proccedure shown below:
1- You have that the equation of the line is:
Where is the slope and
is the y-intercept.
2- Based on the information given in the problem, the lines and
are parallel, which means that both have the same slope. Therefore, you can calculate the slope of
:
3- Use the coordinates of the point to calculate the y-intercept:
4. Solve for :
5. The equation of the line is:
The answer is: