Question

Choose the linear inequality that describes the graph. The gray area represents the shaded region

Answer 1

(1,0)(0,-2)
slope = (-2 - 0) / (0 - 1) = -2/-1 = 2

y int (where the line crosses the y axis) = (0,-2)

equation is : y = 2x - 2.....line is solid, so there is an equal sign in the problem....shading is above the line, so it is greater then

ur inequality is : y > = 2x - 2

Answer 2

Answer:

The required inequality that shown in the given graph is $y\geq 2x-2$.

Step-by-step explanation:

Consider the provided graph.

The y-intercept of the line is, (0,-2)

The x-intercept of the line is, (1,0)

To find the equation of line use the formula:

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

Substitute $(x_1,y_1)=(0,-2)\text{and}(x_2,y_2)=(1,0)$

$y-(-2)=\frac{0-(-2)}{1-0}(x-0)$

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

$y+2=2x$

$y=2x-2$

Therefore the equation of line is $y=2x-2$.

The graph is solid line and shaded region is above the line. So, use the inequality sign "≥".

Thus, the required inequality that shown in the given graph is $y\geq 2x-2$.