Q:

The table shows some of the solutions for an inequality related to the line shown in the graph. Which inequality describes the solution set?

Accepted Solution

A:
Answer:Option BStep-by-step explanation:By plotting the points given in the table,All points lie below the dark red line.Let the equation of the line is,y - y' = m(x - x')Here, m = Slope of the line(x', y') is a point lying on the given line.Slope of the line passing through two points (-1, 3) and (0, 1) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]m = [tex]\frac{3-1}{-1-0}[/tex]m = -2Therefore, equation of the line passing through (0, 1),y - 1 = -2(x - 0)y = -2x + 1Since all the points given in the table lie below the dark red line so the solution are will be,y ≀ -2x + 1 Option B will be the correct option.