Question

point ( p(4,6) ) is translated 5 units to the right and 3 units down. which are the coordinates of the new location of point ( p )?
( (1,3) )
( (1,9) )
( (9,3) )
( (9,9) )

Explanation:

Step1: Translate horizontally

When translating a point \( (x,y) \) \( a \) units to the right, the new \( x - \) coordinate is \( x + a \). Here \( x = 4\) and \( a=5\), so the new \( x - \) coordinate is \(4 + 5=9\).

Step2: Translate vertically

When translating a point \( (x,y) \) \( b \) units down, the new \( y - \) coordinate is \( y - b \). Here \( y = 6\) and \( b = 3\), so the new \( y - \) coordinate is \(6-3 = 3\).

Answer:

\((9,3)\) (corresponding to the third option)