Question

a point at (2,5) in the standard coordinate plane is shifted down 2 units and left 7 units. what are the new coordinates of the point? a. (-5,3) b. (-2,2) c. (0,-2) d. (4,12) e. (9,7)

Explanation:

Step1: Calculate the new x - coordinate

When a point is shifted left \(n\) units, we subtract \(n\) from the \(x\) - coordinate.
The original \(x\) - coordinate is \(2\), and it is shifted left \(7\) units. So the new \(x\) - coordinate is \(2-7=-5\).

Step2: Calculate the new y - coordinate

When a point is shifted down \(m\) units, we subtract \(m\) from the \(y\) - coordinate.
The original \(y\) - coordinate is \(5\), and it is shifted down \(2\) units. So the new \(y\) - coordinate is \(5 - 2=3\).

Answer:

A. \((-5,3)\)