Find a linear inequality with the following solution set. Each grid line represents one unit.
First to find the equation of the line. The y-intercept rests at (0,1) so the b term in y = mx + b is 1. The slope is -1 when you look at the rate of change in y/x. Plugging in the values, you get the equation of the line.
The equation for this line is \(y = -x + 1\), but because the shaded region is ABOVE the x-axis and the line, and because this question is asking for a linear inequality, then the linear inequality for this question is:
\(y > -x + 1\)