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Which linear inequality is represented by the graph?

Which linear inequality is represented by the graph?-example-1

2 Answers

3 votes
the third one y is less than or equal too

User Jamie Taylor
by
9.1k points
4 votes

Answer:

y ≤
(2 )/( 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 ≤
(2 )/( 3) +
(1)/(5) .

User Mike Izbicki
by
8.5k points

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