Question

Which description of the graph of the linear inequality y ≥ 7x – 4 is correct?

The graph will be a dashed line with a y-intercept of negative four and a slope of seven. The graph will be shaded below the line.
The graph will be a solid line with a y-intercept of negative four and a slope of seven. The graph will be shaded above the line.
The graph will be a solid line with a y-intercept of seven and a slope of negative four. The graph will be shaded below the line.

Answer 1

The second description is correct.

Reason: y ≥ 7x − 4 has boundary y = 7x − 4 (solid line because ≥ includes equality). The line has y-intercept −4 and slope 7. Points with y larger than the line (above it) satisfy the inequality (e.g. (0,0): 0 ≥ −4 is true), so shade above the line.