Question

Given B(-5 0) reflected across the line y=-2

Answer 1

The point B(-5, 0) reflected across the line y = -2 results in the reflected point B'(-5, -4), obtained by moving B two units downwards.

Step-by-step explanation:

Reflecting a point across a line involves creating a symmetric image of the point on the other side of the line. In the case of point B(-5, 0) reflected across the line y = -2, we find the reflected point by measuring the vertical distance from B to the line y = -2 and translating B that same distance on the opposite side.

To find the reflected point:

Reflect B across the line by moving it 2 units downwards (because it's already above the line y = -2). This gives us the new y-coordinate, which will be -2 - 2 = -4.

The x-coordinate remains the same since the reflection is vertical, thus the reflected point will be B'(-5, -4).

The reflected point is B'(-5, -4).

Answer 2

When it is reflected across y=-2, the new location will be at (-5,-4)

Step-by-step explanation:

y=-2 is a horizontal line. The points B(-5,0) is 2 units above that point. So, when reflected, it will move 4 units down, which gives you (-5,-4).