Question

graph the point (-2, -6) on the coordinate plane.

Explanation:

Step1: Identify x - coordinate

The x - coordinate of the point \((-2,-6)\) is \(-2\). On the coordinate plane, we move 2 units to the left of the origin (since the x - coordinate is negative) along the x - axis.

Step2: Identify y - coordinate

The y - coordinate of the point \((-2,-6)\) is \(-6\). From the position we reached on the x - axis (at \(x = - 2\)), we move 6 units downwards (since the y - coordinate is negative) along the vertical line \(x=-2\). The intersection of the vertical line \(x = - 2\) and the horizontal line \(y=-6\) is the location of the point \((-2,-6)\).

(Note: Since this is a graphing problem, the final answer is the point plotted at the intersection of \(x=-2\) and \(y = - 6\) on the given coordinate plane. To describe the plotting process, we follow the steps of using the x and y coordinates to find the position.)

Answer:

The point \((-2,-6)\) is plotted by moving 2 units left from the origin along the x - axis and then 6 units down from that position along the vertical line \(x = - 2\) (or equivalently, 6 units down from the origin along the y - axis and then 2 units left along the horizontal line \(y=-6\)). Visually, on the given grid, it is at the intersection of the vertical line passing through \(x=-2\) and the horizontal line passing through \(y = - 6\).