Question

6.Line 2x -2y = 6 is transformed by a dilation a scale factor of 2 and centered at the (4, 1). What is the equation of the line after the dilation?

Answer 1

9514 1404 393

Answer:

y = x - 3

Explanation:

The given point is on the line. The dilation stretches the line along its length, but does not change its equation. In slope-intercept form the equation of the given line, and that of the dilated line, is ...

y = x - 3

In standard form, it is ...

x - y = 3

In the given form, it is ...

2x -2y = 6