Question

Need this ASAP please help!#2

Answer 1

Answer:

The correct option is 3.

Step-by-step explanation:

From the given graph it is noticed that the related line passing through the point (-3,1) and (0,3).

If a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

The equation of related line is

$y-1=\frac{3-1}{0-(-3)}(x-(-3))$

$y-1=\frac{2}{3}(x+3)$

$y-1=\frac{2}{3}(x)+2$

Add 1 on both the sides.

$y=\frac{2}{3}(x)+2+1$

$y=\frac{2}{3}(x)+3$

The equation of related line is $y=\frac{2}{3}(x)+3$.

The related line is a dotted line, it means the point on the line does not included in the solution set.

The shaded region is above the line so the sign of inequity is >.

The required inequality is

$y>\frac{2}{3}(x)+3$

Therefore option 3 is correct.