Question

The point $\left( 3,4 \right)$ is at a distance of ____________ from $Y$-axis
A. $2$ units
B. $3$ units
C. $5$ units
D. $1$ units

Answer 1

Hint: Here we have been given a point and we have to find its distance from the $Y$ -axis. Firstly we will draw the point on the graph then we will calculate the distance from the $Y$ -axis to the point by calculating the units from its left hand side on the $X$ -axis. Finally we will get our desired answer.

Complete step-by-step solution:
The points given are as follows:
$\left( 3,4 \right)$
Let us name the point as below,
$A=\left( 3,4 \right)$
Now we will draw the points on the graph as follows and also mark the line from both the axis to the point as follows:

Now as we have to find the distance from the $Y$ -axis to the point so we can see the vertical length of the graph as follows:

So the vertical length is $3\,units$
The point $\left( 3,4 \right)$ is at a distance of $3\,units$ from $Y$-axis
Hence correct option is (B).

Note: In this type of question it is very important to draw the graph as it becomes easy to get the values through it. The question should be read carefully as from what axis or what point the distance is asked. The unit of the distance on a graph is denoted by units. If the distance from the $Y$ -axis is asked we see the vertical line length and if the distance from the $X$ -axis is asked we see the horizontal line length. The answer can be obtained from the distance formula as we are able to locate the two points but it is an unnecessary calculation that should be avoided until and unless it is asked in the question.