9514 1404 393
Answer:
y > 1/2x + 2
Step-by-step explanation:
The points shown on the line are separated by a "rise" of 1 unit vertically, and a "run" of 2 units horizontally. Its slope is rise/run = 1/2.
The line crosses the y-axis at y=2, so the y-intercept is 2.
The boundary line is then ...
y = mx + b . . . . . . . where the slope is m and the y-intercept is b
y = 1/2x + 2 . . . . . . the equation of the boundary line
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The line is dashed, and the shaded area is above the line, where y-values are greater than the y-value on the line. Then the y-values on the line are NOT included in the solution set. The inequality is ...
y > 1/2x + 2
