Find a linear inequality with the following solution set. Each grid line represents one unit. (Give your answer in the form $ax+by+c>0$ or $ax+by+c\geq0$ where $a,$ $b,$ and $c$ are integers with no common factor greater than 1.)

Please help fast!

-0.5x + y + 0.5 > 0

Step-by-step explanation:

Let the equation of the line is,

y - y' = m(x - x')

where (x', y') is a point lying on the line

m = slope of the line

Since two points (1, 0) and (3, 1) lie on the line,

Therefore, slope of the line 'm' =

m =

m =

Equation of line passing through (1, 0) and slope = will be,

y - 0 =

y = 0.5x - 0.5

Since, line given in the graph is a dotted line therefore, its an inequality having sign of (> or <).

In this inequality shaded region is above the dotted line therefore, inequality representing the solutions by the shaded region will be,

y > 0.5x - 0.5

-0.5x + y + 0.5 > 0

answer:      

step-by-step explanation: