Question

The boundary line on the graph represents the equation x-3y=5. Write an inequality that is represented by the graph.

Answer 1

y > 1/3x - 5/3

x-3y < 5

Explanation:

We simplify x-3y=5, to y = 1/3x - 5/3

We notice the boundary line is dotted, we know the inequality must be < or > rather than ≤ or ≥.

The shading is above the line which indicates that in y-intercept form we must use >.

y > 1/3x - 5/3

or x-3y < 5

Either of these show the exact same thing.