Chapter SH, Problem 2.6.12EP

To determine

To graph: The given point on coordinate plane

Answer to Problem 2.6.12EP

Explanation of Solution

Given information:

  $M\left(4,-2\right)$

Concept used:

We know that a number line always starts with 0 and increases 1 unit at every interval.

Also, when two number lines intersect each other at right angle, it forms a coordinate plane. The vertical number line in this case is known as y-axis and horizontal number line is known as x-axis.

As the number lines intersect each other, the plane is divides into four quadrants namely first, second, third and fourth quadrant moving anticlockwise starting from positive x-axis.

When a point is located on the graph, its x-coordinate and y-coordinate together represent the order pair. Sign on the ordered pair identify the quadrant it is located in, for example for a point $\left(x_1,y_1\right)$ if $x_1$ and $y_1$ both are positive, it’s in first quadrant, if $x_1$ is negative, its in second quadrant, if both are negative then it is in third quadrant and if $y_1$ is negative then it is in fourth quadrant.

Graph:

Basis the above definitions we can locate the point M on graph and write its ordered pair.

Basis the graph, the point lies in fourth quadrant.