Trying to remember how to do this.
2x+5y _>-10
Can I put whatever numbers I want in there? Like 0,1,2 to come up the line?
Hi Rheanna,
You can set up a table of values for x, and solve for y. Noticing that your inequality is greater than or equal to, the line will be graphed as a solid line as opposed to a dashed or broken line.
The easiest way to graph this is to first translate the inequality in the form of y = mx + b, using the appropriate inequality symbol.
$\displaystyle 2x+5y \ge -10$
$\displaystyle 5y \ge -2x-10$
$\displaystyle y \ge -\frac{2}{5}x-2$
You can now plot the y-intercept at (0, -2). Use the slope to find a second point (travel down 2 and right 5 or up 2 and left 5).
The solution is a region either above or below the line. If you are not sure which side to shade, pick a test point and insert it into the original inequality and test for validity. If it works, shade that side. If it doesn't, shade the other side.