Question

Graph the solution of the system of linear inequalities.

Answer 1

Well, step one is to graph the actual lines. To find the slope, m, find any two points and calculate the ratio of the change in y versus the change in x, such that m=dy/dx.

Then, using any point on the graph, find the y-intercept, b, by substituting the point's coordinates (x,y) into y=mx+b.

Now look at the line itself. Is it dotted or smooth? Look at the shaded region. Is it shaded above or below the line? If dotted, that means the values on the line are not a part of the solutions, and therefore y>mx+b (if shaded region above) or y<mx+b (if shaded region below). If smooth, then it's as the above, except instead of "greater/less than" it's "greater/less than or equal to" since the values on the line are parts of the solution.

Answer 2

Oh woops, I missed the question. XD I thought it was determine the equation of the lines in the graphs. Well, just work backwards from the explanation I gave to determine the equation. :P