Since the equation is the form of y=mx+b, it is considered to be a linear equation. And the result of the graph will be a straight line. In graphing linear equation, assume that the value of the x-coordinate to be 0 to get the first point in the form (0,y) and assume y-coordinate to be 0 to get the second point in the form (x,0)

Assuming x=0, y=3x+1

y=3(0)+1

y=1 The first point will be (0,1) Assuming y=0, y=3x+1

0=3x+1

\(\displaystyle{x}=-\frac{{1}}{{3}}\ {\quad\text{or}\quad}\ {x}=-{0.333333}\)

And the second point will be \(\displaystyle{\left(-\frac{{1}}{{3}},{0}\right)}\)

Plotting the two points (0,1) and \(\displaystyle{\left(-\frac{{1}}{{3}},{0}\right)}\) will result in