Question

point q is located at (-6, 1) on the coordinate plane. point q is reflected over the x - axis to create point q. point q is then reflected over the y - axis to create point q. what ordered pair describes the location of q? answer: q( )

Explanation:

Step1: Reflect over x - axis

When a point $(x,y)$ is reflected over the $x$-axis, the $x$-coordinate remains the same and the $y$-coordinate changes its sign. Given point $Q(-6,1)$, after reflecting over the $x$-axis, point $Q'$ has coordinates $(-6, - 1)$.

Step2: Reflect over y - axis

When a point $(x,y)$ is reflected over the $y$-axis, the $y$-coordinate remains the same and the $x$-coordinate changes its sign. Since $Q'$ is $(-6,-1)$, after reflecting $Q'$ over the $y$-axis, point $Q''$ has coordinates $(6,-1)$.

Answer:

$(6,-1)$