Provide the reflected ordered pair for each of the given ordered pairs. Reflect the ordered pair ( − 4 , 5 ) (-4, 5) across the y-axis Reflect the ordered pair ( 0 , 3 ) (0, 3) across the x-axis

a) (4,5)

b) (0,-3)

Step-by-step explanation:

We have to perform the following reflection over given ordered pair.

a) Reflect the ordered pair (-4,5) across the y-axis

Reflection over y-axis:

Thus, (-4,5) will be reflected over y-axis as

b) Reflect the ordered pair (0,3) across the y-axis

Reflection over x-axis:

Thus, (0,3) will be reflected over x-axis as

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,