What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEAS

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 .

1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23