Question

Enter an inequality that represents the graph in the box.

Answer 1

The slope-intercept form:

`y=mx+b`

slope
`m=(\Delta y)/(\Delta x)`

y-intercept = b.

We have: (0, -6) → b = -6

`\Delta y=4\\\\\Delta x = 1\Rightarrow m=(4)/(1)=4`

Substitute:

`y=4x-6`

OK. We have the equation of a line.

The shaded region is above the line, therefore we have the inequality:

`y\geq4x-6`