Question

which point do these directions indicate?
starting at the origin,
go four spaces down and
then two spaces to the right.
(-4,2)
(-4,-2)
(2,-4)
(-2,-4)

Explanation:

Step1: Understand the coordinate system

In a coordinate system, the \(x -\)coordinate (horizontal) and \(y -\)coordinate (vertical) are used. Starting at the origin \((0,0)\), moving down affects the \(y -\)coordinate and moving right affects the \(x -\)coordinate.

Step2: Determine the \(x -\)coordinate

Moving \(2\) spaces to the right from the origin. Since moving right on the \(x -\)axis (positive \(x -\)direction), the \(x -\)coordinate is \(x = 2\).

Step3: Determine the \(y -\)coordinate

Moving \(4\) spaces down from the origin. Since moving down on the \(y -\)axis (negative \(y -\)direction), the \(y -\)coordinate is \(y=-4\).

Answer:

\((2, - 4)\)