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
.
Answer:
B) identity property of addition.
Step-by-step explanation:
Given:
The statement given is:

Here, we observe that 10 is added to a giving the number 10 itself as the answer. So, we know of a property which says that when 0 is added to a number, the result is the number itself. This property is called identity property of addition.
So, the value of
must be 0 because on adding
to 10, we are getting the number 10 only. So, the above statement is an example of identity property of addition.
2x-y=0 Y=x-1 2x-x-1=0 x-1=0
General rule: The angles on a straight line total 180°
The right angle equates to 90°
Since that angle is half of our desired angle, it must mean that 2x + x = 90°
breaking this down, we get 3x = 90° which can be divided to make x = 30°