Question

How do you plot (-2,8)?

Answer 1

Hint: This point is plotted in a Cartesian coordinate system. This system specifies each point uniquely in a plane by a set of numerical coordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length. This coordinate grid has two perpendicular lines, or axes like number lines. So this point is plotted here.

Complete step-by-step solution:
The horizontal axis is called the x-axis. The vertical axis is called the y-axis. The point where the x-axis and the y-axis intersect is called the origin. The numbers on a coordinate grid are used to locate points.
Given a point (-2,8) which are x and y coordinates.
We have to plot these x and y coordinates in the Cartesian coordinate system.
Here $\left( {x,y} \right) = \left( { - 2,8} \right)$
Here the x-coordinate is -2.
Whereas the y-coordinate is 8.
The meaning of the x-coordinate is that it is x units away from the y-axis.
The y-coordinate means that it is y units away from the x-axis.
Now here the x-coordinate is -2, where we can see that the x-coordinate is negative which means that it is on the left side of the vertical axis, so the x-coordinate is left to y-axis and 2 units away from y-axis on the left side.
The y-coordinate is 8, here the y-coordinate is positive so it is above the x-axis and 8 units away from x-axis.
So the point (-2,8) is on the left side of the y-axis and above the x-axis, which is in the second quadrant.

Note: Please note that when mentioned the word quadrant, the whole coordinate system is divided into 4 quadrants, the first quadrant is where both the coordinates are positive, where in the second quadrant the x-coordinate is negative and the y-coordinate is positive. If the point is in the third quadrant both the coordinates are negative. In the fourth quadrant the x-coordinate is positive and the y-coordinate is negative.