Question

The graph of the equation of the form y=mx is a line which always passes through-
A.$\left( {0,m} \right)$
B.$\left( {x,0} \right)$
C.$\left( {0,y} \right)$
D.$\left( {0,0} \right)$

Answer 1

Hint: -We have to find the point through which the general equation y=mx passes. Here m is the slope of the line. So, first we will draw the graph of the equation. We know that the graph of the linear equation is always a straight line. Here the equation is a linear equation so we will get the graph of a straight line. Then we will check the points through which the line passes by observing the graph.

Complete step-by-step answer:
We have to find the point through which the line of the equation of form y=mx passes.
It is already given that the graph of the equation of the form y=mx is a line.
So first we will draw the graph of the line y=mx where m represents the slope of the line.
Here the equation is a linear equation so the graph will also be a straight line.

We can see from the graph that the equation of the line passes through point$\left( {0,0} \right)$.It means that the line of equation of the form y= mx passes through origin.
The correct answer is D.

Note: Here, every point on the straight line is the solution of the linear equation. When any such equation is given then we make the graph of the equation by following steps-
First, we put the value of x=$1,2,3,...$ in the equation so that we can find the value of y.
Then we mark the coordinates of the x and y on X-axis and Y-axis respectively.
Then join all the coordinates and you’ll get the graph.