Question 330481
{{{y=mx+b}}}
Plot the intercept ({{{0}}},{{{b}}}).
Slope is change in {{{y}}} over change in {{{x}}}.
Determine another point using the slope, starting at the intercept.
A change of 1 unit in {{{x}}} would then give you a change of {{{m}}} units in {{{y}}}.
Next point,
{{{x}}}:{{{0+1=1}}}
{{{y}}}:{{{b+m}}}
Plot the point({{{1}}},{{{b+m}}})
Connect the two points with a line. 
.
.
.
Consistent and indepedent are really terms that apply to systems of linear equations. 
If you have a line in slope-intercept form, it's a given that it's consistent and independent.