Question

Which linear inequality is represented by the graph?

A) y > 2/3x - 2

B) y < 2/3x + 2

C) y > 2/3x + 1

D) y < 2/3x - 1

I NEED THE ANSWER ASAP ‼️

Answer 1

D) y < 2/3x - 1 is the answer you are looking for this is because the negative one if your y intercept and the 2/3 is your slope this makes the line and the sign draws the shading down with a dotted line.

Answer 2

y <
`(2)/(3)`x -1 .

Explanation:

Given : Graph.

To find : Which linear inequality is represented by the graph.

Solution : We have given graph with shaded down .

We know that if the graph is shaded down then equation of inequality has less than sign.

On comparing with line slope form y = mx +b.

Where m = slope and b = y intercept ( where the graph line cut at y axis)

Then b = -1 and slope =
`(2)/(3)`.

Then equation become

y <
`(2)/(3)`x -1 .

Therefore, y <
`(2)/(3)`x -1 .