SOLUTION
The equation of a line is given as
[tex]y=mx+b[/tex]Where m is the slope and b is the intercept on the y-axis.
From the equation
[tex]y=3x+7[/tex]The slope m1 = 3
From the equation
[tex]y=-\frac{1}{3x}-1[/tex]The slope is
[tex]m2=-\frac{1}{3}[/tex]For parallel, m1 = m2.
But from what we have, m1 is not equal to m2. Therefore the lines are not parallel.
