We are given two points from the graph
(0, 3) and (2, -3)
Firstly, we need to find the slope of the graph
Slope = Rise / Run
Rise = y2 - y1
Run = x2 - x1
From the given points,
x1 = 0, y1 = 3, x2 = 2, and y2 = -3
Rise = -3 - 3
Rise = -6
Run = 2 - 0
Run = 2
Therefore, slope = -6/2
Slope = -3
The standard form of slope - intercept equation for a given point is written below
(y - y1) = m(x - x1)
Where m = slope
(y - 3) = -3(x - 0)
Open the parentheses
y - 3 = -3*x - 3*0
y - 3= -3x + 0
y - 3 = -3x
Make y the subject of the formula
y = -3x + 3
y = -3x + 3
Since this is an inequality graph and the area shaded is below the points
Then,
[tex]y\text{ }\leq\text{ -3x + 3}[/tex]
