Question

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

Answer 1

\[1/3y-1/2x>2\]
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.

Answer 2

on a graph where would the shaded region be? and would it be a solid or dotted line?

Answer 3

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.

Answer 4

ok thank you