Question

Which linear inequality is represented by the graph?

Answer 1

Answer:

y < 6/4x - 3

Step-by-step explanation:

Answer 2

Answer:

The required inequality is $y$.

Step-by-step explanation:

From the given graph it is clear that the related line passes through the points (-3,-3) and (3,1).

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

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

The equation of related line is

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

$y+3=\frac{4}{6}(x+3)$

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

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

Subtract 3 from both the sides.

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

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

The equation of related line is $y=\frac{2}{3}(x)-1$. The related line is a dotted and the shaded region is below the line. So, the sign of inequality is <.

The required inequality is

$y$

Therefore the required inequality is $y$.