PLEASE HELPP MEE FAST
WILL MARK THE BRAINLIEST!!!
(80 points)

y < -2x + 4

Step-by-step explanation:

So first we need to find the equation of the line

To do so we can use the equation y = mx + b

To find m, the slope, we can use the formula In this case (x₁, y₁) = (3, -2) and (x₂, y₂) = (1, 2)Plugging them into the slope formula we get:

Now that we found our slope we can use the point-slope formula [y - y₁ = m(x - x₁)] to find the equation of our line

Plugging in the values we have: y - (-2) = (-2)(x - 3)Distributing the negative to the -2 and the -2 to the (x-3) we have: y + 2 = -2x + 6Then subtracting 2 from both sides we get y = -2x + 4

Now this is the equation of that line, we need to now set this up as an inequality

A dashed line indicates the inequality with be either > or <A solid line indicates the inequality will be either ≥ or ≤

Here we have a dashed line so we will be using > or <

Now to figure out which one to use, we need to look at the shading on the graph.

If the shaded region is above the line, we will use >If the shaded region is below the line, we will use <

So here the shaded region is below the line

With all this information, we can write our inequality as y < -2x + 4

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