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amid [387]
3 years ago
5

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

Mathematics
2 answers:
zepelin [54]3 years ago
6 0
(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


seraphim [82]3 years ago
6 0

Answer:

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

Step-by-step explanation:

Consider the provided graph.

The <em>y</em>-intercept of the line is, (0,-2)

The <em>x</em>-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.

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