Which statements are true about the graph of y < 2/3x + 1? Check all that apply.The slope of the line is 1. The line is solid. The area below the line is shaded. A solution to the inequality is (2, 3). The x-intercept of the boundary line is (, 0).

Answer:  Option (3) and (5) is correct.3) The area below the line is shaded.5) The x-intercept of the boundary line is (-1.5,0) Step-by-step explanation:  Given inequality [tex]y<\frac{2}{3}x+1[/tex]We have to check out of given statements which statements are true about the graph of [tex]y<\frac{2}{3}x+1[/tex]We first plot the graph for the given inequality And we will check all given statement one by one,1) The slope of the line is 1. Slope of a line is the derivative of given equation with respect to x,Thus, slope of  given inequality [tex]y<\frac{2}{3}x+1[/tex] is [tex]\frac{dy}{dx}=\frac{2}{3}[/tex]Thus, statement is false.2) The line is solid. No, as the inequality has only less than sign so it will be a dotted line.3) The area below the line is shaded.Yes, it is clear from the graph the area below is shaded.4) A solution to the inequality is (2, 3)No, from graph the point (2,3) lies outside the shaded region.5) The x-intercept of the boundary line is (-1.5,0)Yes , x - intercept where y = 0 The x-intercept of the boundary line is (-1.5,0)  Thus, Option (3) and (5) is correct.