Let's first identify at least two points that pass through the line and generate an equation. We've identified two points at A(x1,y1) = (0,3) and B(x2,y2) = (1,1).
Let's generate the equation by getting the value of the slope (m) and y-intercept (b) then substitute it to the Slope-Intercept Formula.
Let's determine the value of the y-intercept (b) at m = -2 and (x,y) = (0,3).
Therefore, the formula of the line is:
The shaded area is at the left side of the graph and the boundary is solid. Therefore, the inequality represented by the graph must be:
The given choices arent's their simplest form, it has an LCM of 7. Let's use this LCM to transform the inequality the same as the choices given. We get,
The answer is letter C.