Question

Which of the following points lie on a horizontal line through $W$?

a. $(-2,1)$ b. $(2,3)$ c. $\left(1,-3\right)$ d. $\left(-2,0\right)$
e. $\left(0,-3\right)$ f. $\left(2,0\right)$

Short answer

The point that lies on the horizontal line through point$W$is option e.

Step-by-step solution

Step 1. Define coordinate of a point.

Coordinate $\left(x,y\right)$ of a point is an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate.

Step 2. Understand the graph.

From the graph, it is observed that the point $W$lies on the third quadrant on the coordinate axis.

Since the x-coordinate and y-coordinate of point$W$are $-2$and $-3$respectively, therefore, the vertical line for point$W$is $x=-2$and the horizontal line for$W$is $y=-3$.

Step 3. State the conclusion.

On the horizontal line$y=-3$, the point will be$\left(0,-3\right)$. Thus, the answer is option e.

Thus, the point that lies on the horizontal line through point$W$is option e.