Since the line is a solid line and the graph is shaded below, the required equation will be 3y- x≤ -4
Equation of a line
The standard equation of a line in slope intercept form is expressed as y = mx+b
Using the coordinate points (4,0) and (1, -1)
Determine the slope
Sope = -1/-3
Slope = 1/3
For the y-intercept
0 = 1/3(4) + b
b = -4/3
Substitute
y = 1/3x - 4/3
Rewrite in standard form
3y = x - 4
3y - x = -4
Since the line is a solid line and the graph is shaded below, the required equation will be 3y- x≤ -4
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