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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 ‼️

Which linear inequality is represented by the graph A y gt 23x 2 B y lt 23x 2 C y gt 23x 1 D y lt 23x 1 I NEED THE ANSWER ASAP class=

Respuesta :

Slipknot
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:

y <  [tex]\frac{2}{3}[/tex]x -1 .

Step-by-step 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  = [tex]\frac{2}{3}[/tex].

Then equation become

y <  [tex]\frac{2}{3}[/tex]x -1 .

Therefore, y <  [tex]\frac{2}{3}[/tex]x -1 .

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