Question

question
point b is located at (-2, -4) on the coordinate plane. point b is reflected over the x - axis to create point b. what ordered pair describes the location of b?
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answer attempt 1 out of 2
b ( , )

Explanation:

Step1: Recall reflection over x - axis rule

When a point \((x,y)\) is reflected over the \(x\) - axis, the \(x\) - coordinate remains the same, and the \(y\) - coordinate changes its sign. The formula for the reflection of a point \((x,y)\) over the \(x\) - axis is \((x,y)\to(x, - y)\).

Step2: Apply the rule to point \(B(-2,-4)\)

For point \(B(-2,-4)\), the \(x\) - coordinate \(x=-2\) and the \(y\) - coordinate \(y = - 4\). When we reflect over the \(x\) - axis, the new \(x\) - coordinate is still \(-2\), and the new \(y\) - coordinate is \(-(-4)=4\). So the coordinates of \(B'\) are \((-2,4)\).

Answer:

\((-2, 4)\)