Question

On a coordinate plane, a dashed straight line has a negative slope and goes through (0, 3) and (2, negative 1). Everything to the left of the line is shaded.

Which linear inequality is represented by the graph?

y > 2x + 3
y < 2x + 3
y > −2x + 3
y < −2x + 3

Answer 1

y < -2x + 3.

Explanation:

First find the equation of the line:

Its slope is (3 - (-1)) / 0-2)

= 4/-2

= -2.

Its y-intercept is at 3 so its equation is

y = -2x + 3

The area to the left (beneath) this line is shade .

So the answer is:

y < -2x + 3.