The inequality of the graphed line in slope-intercept form is y < (2/3)x + 3.
The image is the graph of an inequality.
The determine the inequality, first, we find the equation of the line.
The passes through points (0,3) and (3,5).
Find the slope:
Slope m = ( change in y )/(change in x)
Slope m = ( 5 - 3 )/( 3 - 0 )
Slope = 2/3
Now, plug the slope m = 2/3 and the point (0,3) into the point-slope formula:
y - y₁ = m( x - x₁ )
y - 3 = (2/3)( x - 0 )
y - 3 = (2/3)x
y = (2/3)x + 3
Now, we have the replace the equation sign with an inequality sign.
From the image, the graph is shaded downward, and the line is not solid.
Hence, we use the "less than" inequality sign.
y < (2/3)x + 3
Therefore, the inequality of the graph is y < (2/3)x + 3.