Point (-5,2) is reflected over the y-axis. Where is the new point located?
A. (5,-2)
B. (-5,-2)
C. (5,2)
D. (-5,2)

The coordinates of the new point after the reflection over -axis is .

So, option is correct.

When a point is reflected over the -axis, the value of coordinate remains the same and the sign of the value of -coordinate changes.

becomes .

In the point .

will become and will remain .

So, the new point is .

Therefore, option is correct.

Learn more about reflection here:

link

C

Step-by-step explanation:

When we reflect over the y-axis, the x coordinate changes its sign, and the y coordinate remains the same.

It follows this:

(x,y)-->(-x,y)

To reflect this point:

(-5,2)

Simply change the x coordinate sign

The x coordinate is -5, and when we change the sign, we get 5

-5--> 5

The y coordinate stays the same, so our new point is:

(5,2)

Therefore, it is choice C

for this case we must apply distributive property to the following expression:

the distributive property states that:

then, when applying the property we have to multiply the -2 for each term within the parenthesis:

hey there! : )

4y < -4

we need to isolate y. we can do this by simply dividing both sides by 4.

4y ÷ 4 > -4 ÷ 4

simplify.

y > -1

5 - y > 0

once again, we need to isolate y, so we can start off by subtracting 5 from both sides.

5 - y - 5 > 0 - 5

simplify.

-y > -5

divide both sides by -1.

** remember that when dividing any side by a negative, you must switch the sign! **

-y ÷ -1 < -5 ÷ -1

simplify.

y < 5

~hope i ! ~