Question

Question 3(Multiple Choice Worth 1 points)(04.01 MC)The coordinates of point L on a coordinate grid are (-2,-4). Point L is reflected across the y-axis obtain point M and across the x-axis to obtain point N. What are the coordinates ofpoints M and N?OM(2, 4), N(-2,-4)OM(2,-4), N(-2, 4)OM(-2,-4), N(2, 4)OM(-2, 4), N(2,-4)

Answer 1

M(2, -4), N(-2, 4)

Step-by-step explanation

We know that the coordinates of point L are (-2, -4). When it is reflected across the y-axis to obtain point M, the sign of the x-coordinate is changed,

`(x,y)\rightarrow(-x,y)`

So, the coordinates of point M are (2, -4).

Then, L is reflected across the x-axis to obtain point N, so its y-coordinate changes its sign instead,

`(x,y)\rightarrow(x,-y)`

So the coordinates of point N are (-2, 4).

Hence, the coordinates of points M and N are M(2, -4), N(-2, 4).