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Answer:
y ≤ 3x -1
Explanation:
The y-intercept of the boundary line is y = -1.
The boundary line crosses the grid at that point, and again at (1, 2), for a rise of 3 and a run of 1. The slope is ...
m = rise/run = 3/1 = 3
Then the slope-intercept equation of the boundary line is ...
y = mx +b . . . . . . . line with slope m and y-intercept b
y = 3x -1 . . . . . . . . line with slope 3 and y-intercept -1
The boundary line is shown as solid, so points on the line are included in the solution set. (The "or equal to" case is included.) The shading is below the line, so the inequality will be "y is less than ...".
The equation of the graph shown is ...
y ≤ 3x -1