Question

what are the coordinates of point p, the image of point (3, - 4) after a reflection in the line y = x? 1) (3,4) 2) (-3,4) 3) (4, - 3) 4) (-4,3)

Explanation:

Step1: Recall the reflection rule

When a point \((a,b)\) is reflected over the line \(y = x\), the rule is \((a,b)\to(b,a)\).

Step2: Apply the rule to the given point

For the point \((3,-4)\), using the rule \((a = 3,b=-4)\), we swap the \(x\) and \(y\) coordinates. So the image point \(P\) has coordinates \((-4,3)\).

Answer:

1. \((-4,3)\)