Question

What is the graph of the inequality x−3y<3
?

First, identify how to graph the boundary line.

The equation of the boundary line is x−3y=3
. What are the intercepts of the boundary line?

Enter your answers in the boxes.

Answer 1

To find the x-intercept, we set y = 0 and solve for x:

x - 3(0) = 3
x = 3

So, the x-intercept is (3, 0).

To find the y-intercept, we set x = 0 and solve for y:

0 - 3y = 3
-3y = 3
y = -1

So, the y-intercept is (0, -1).