the equation of a line is y=2x-3 write the equation of a line parallel to this line

Question

so do i graph the equation then pick a point on the line and then use point intercept form

Answer 1

If two lines are parallel they have no intersecting points.  In order for this to be true every parallel line must have the same slope but a different intercept.  So to convince yourself, graph y=2x-3, y=2x-2, y=2x-1, y=2x, y=2x+1... After the first couple this should not take long.