When the sign is ≤ or ≥ ("less/greater than or equal to"), the line is a solid line.
When the sign is < or >, the line is a dotted line.
The inequality will be similar to the slope intercept form:
y = mx + b
"m" being the slope, "b" being the y-intercept(when x = 0)
Except there is no equal sign.
The slope(m) can be found by using the slope formula, or:
[tex]slope = \frac{rise}{run}[/tex]
Rise is the number of units you go up or down, run is the number of units you go to the right.
Based on the graph, you go up 2 units, and to the right 5 units. Your slope is 2/5. When x = 0, y is -1, so your y-intercept is -1.
y ? 2/5x - 1
The shaded area is below the line, this means that "y" is less than the equation (2/5x - 1)
Your inequality is:
[tex]y < \frac{2}{5}x - 1[/tex]
