Question

How do you plot $( - 2,8)?$

Answer 1

we can plot a point on a graph by using measurement on $X$ coordinate and $Y$ coordinate of the graph. Measurement plan on a graph taking $1$ cm in $X$ axis as $1$ units and also $1$ cm in $Y$ axis as $1$ units. And then marked the coordinates.

Complete Step by Step Solution:
Now, given coordinate is $( - 2,8)$
$- 2$ is our $X$ coordinate on the graph and the $8$ is our $Y$ coordinate on the graph.
Taking the $X$ axis is the horizontal side of a graph and the $Y$ axis is the vertical side of a graph.
Marked the origin point $(0,0)$ . And then taking $1$ cm in $X$ axis as $1$ units and also $1$ cm in $Y$ axis as $1$ units. From the Origin right side of the $X$ axis having positive number of units and left side of the $X$ axis having negative number of units.
Similarly, in the $Y$ axis, the upper side of the origin having positive number of units and lower side of the origin having negative number of units.
Now marked the number $- 2$ in $X$ axis. It is a negative number so it takes a place on the left side of the origin and then moves from that same position marked the number $8$ vertically in the $Y$ axis. It is a positive number so it takes a place in the upper side of the origin.
Now we will be $- 2$ ticks left on the $X$ axis and $8$ ticks up on the $Y$ axis.
The graph of the plot,

Note: To plot a point we need to have two things one is a point and another one is a coordinate plane.
A point in a plane contains two components where order matters.
A point comes in the form $(x,y)$ where $x$ comes first and $y$ comes second.
A coordinate plane is composed of two lines intersecting at a $90$ degree angle at the point $(0,0)$ known as the origin