Question

PLEASE HELP!!!

Which linear inequality is represented by the graph?

y > 2/3x - 1/5
y ≥ 3/2x + 1/5
y ≤ 2/3x + 1/5
y < 3/2x – 1/5

Answer 1

The correct answer is 2

Explanation:

Answer 2

y ≤
`(2x)/( 3)` +
`(1)/( 5)`.

Explanation:

Given : Graph .

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

Solution : We have given graph with shaded down and solid line

It has solid line it mean inequality has equal to sign.

It is shaded down it mean inequality y has less than or equal to sign.

Slope =
`(y_(2)-y_(1) )/(x_(2)- x_(1))`.

Slope =
`(2.2- 0.2 )/( 3- 0)`.

Slope =
`(2)/( 3)`.

Y intercept = 0.2 =
`(2)/( 10)`.

y intercept =
`(1)/( 5)`.

Equation of line y = mx + b

Where m = slope , b = y intercept .

Plug the values of slope and y intercept .

y ≤
`(2)/( 3)` +
`(1)/( 5)`.

Therefore, y ≤
`(2x)/( 3)` +
`(1)/( 5)`.