what is the slope and y intercept of 1/3y-1/2x>2

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what is the slope and y intercept of 1/3y-1/2x>2

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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\[1/3y-1/2x>2\] This is an inequality rather than just a line, but you can treat it as a regular linear equation of form y=mx+b to find the slope and y-intercept. First add 1/2x to each side of the inequality to isolate the y variable, obtaining \[1/3y>1/2x+2\] Then, multiply both sides by 3 to obtain \[3*1/3y>3*(1/2x+2)\] or \[y>3/2x+6\] This is form y>mx+b, where slope is m and y-intercept is b. So the slope is 3/2 and the y-intercept is 6.
on a graph where would the shaded region be? and would it be a solid or dotted line?
Since it is greater than, it would be above the line (think of it as all the lines above the line y=3/2x+6, but not including y=3/2x+6). And the line would be dotted because it is not greater than or equal to, just greater than.

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