NEED HELP ASAP Select the correct answer.
4
X
-4
2
-2
Which of the following inequalities is graphed on the coordinate plane?
O A. y > -21 + 1
OB. y -23 + 1
OC. y < -25 + 1
OD. y < -23 + 1

D. y ≤ -2x = 1

Step-by-step explanation: To determine the inequality, first determine the line equation.

Line equation can be written as

, called point-slope form of a line equation,

where

m is slope of the equation

x₀ and y₀ are points in the line

Slope is calculated as the difference between y-coordinates divided by the difference between the x-coordinates:

From the graph, we have 2 points: (-1,3) and (1,-1), so find slope:

m = -2

Replacing slope and point (0,1) into point-slope form:

This is the equation of the line.

Now, we determine the inequality:

Observe the graph, if the line is a continuous one, it is a less-than-or-equal-to (≤) or more-than-or-equal-to (≥). If it was a dotted line, the symbol would be less-than (<) or more-than (>).

In our case, the line is continuous so it will be ≥ or ≤. To determine which one, we can plug a point located in the shaded part, for example (0,0). Substituting:

y = -2x + 1

0 ≠ -2(0) + 1

0 ≤ 1

Therefore, line equation of the graph is .

-3.396 = -3.4

-0.708 = -0.7

0.304 = 0.3

0.955 = 1

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step-by-step explanation:

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