Thats all. i will give points, fan, medal. , i am so bad at math! determine the type of boundary line and shading for the graph of the inequality 4x + y > −6. (5 points) select one: a. dashed line with shading on the side that includes the origin b. solid line with shading on the side that does not include the origin c. dashed line with shading on the side that does not include the origin d. solid line with shading on the side that includes the origin

Please try leaving out the "I'm so bad at math" part.  It doesn't help.

The given inequality is   4x + y > −6.  Because of the > symbol, we must use a dashed line, not a solid one.  Let's solve this for y:    y > -4x - 6.

This (dashed) line has a slope of -4 and a y-intercept of (0,-6).

Plot (0,-6).  Then, with your pencil pt. on that, move 1 unit to the right and then 4 units down.  Plot a new point there, at (1, -10).  Draw your dashed line thru those 2 pts.  Then, because we have y > -4x - 6, shade the area ABOVE this line.  Done.