SOLUTION: Graph the inequality. 2x-7y>14 Determine if the graph is solid or dotted, and shaded above or below:

Algebra ->  Inequalities -> SOLUTION: Graph the inequality. 2x-7y>14 Determine if the graph is solid or dotted, and shaded above or below:       Log On


   

Question 614742: Graph the inequality. 2x-7y>14 Determine if the graph is solid or dotted, and shaded above or below:
Answer by sophxmai(62) About Me  (Show Source):
You can put this solution on YOUR website!
2x-7y>14
Determine if the graph is solid or dotted, and shaded above or below.

First off, the graph is dotted. You can tell this because the inequality sign is greater/less than. If the sign was greater/less than or equal to, then the graph would be a solid.

To determine whether the graph is shaded above or below, you must first solve for y, and graph it.
2x-7y%3E14
2x-14%3E7y
%282%2F7%29x-%2814%2F7%29%3Ey
%282%2F7%29x-2%3Ey

So the equation is y%3C%282%2F7%29x-2
To graph this, look at it with an equal sign instead. y=%282%2F7%29x-2
This has a y-intercept of -2, and a slope of 2/7.

Now to determine what part is shaded, look at the equation that is solved for y, and pay attention to the inequality sign. If it is y>... then it is shaded above. If it is y<... then it is shaded below. In this case, it is shaded below.