Find a linear inequality with the following solution set. Each grid line represents one unit.
http://latex.artofproblemsolving.com/9/7/8/978d0731638de9265a17eedb3bcb105f846ab6d7.png
Give your answer in "standard form" ax+by+c>0 or ax+by+c>=0 where a, b and c are integers with no common factor greater than 1.
+36916 Two points o the line are 3,1 and 1,-2 slope then equals (y1-y2)/(x1-x2) = (1- -2) / (3-1) = 3/2
y = 3/2 x + b find b by plugging in one of the points
1 = 3/2 (3) + b b = -7/2
so the line equation is y = 3/2 x - 7/2
The yellow shaded area is thus y> 3/2 x - 7/2 Multiply through by 2
2y > 3x - 7 re-arrange
2y - 3x + 7 >0
