Which linear inequality is represented by the graph? y > 2x + 3 y < 2x + 3 y > −2x + 3 y < −2x + 3

You haven't provided the graph, therefore, I can only help with the concept.

First, you need to define the line drawn:

Equation of line is: y=mx + c

where:

m is the slope =

c is the y-intercept which is the value of the y at x = 0

The, you need define the shaded region:

To do so, take any point from the graph and substitute in the inequality, if it satisfies the inequality, then, it is within the shaded region, otherwise, it is not.

Hope this helps :)

The line represents the inequality Option (d) is correct.

Further explanation:

The linear equation with slope and intercept is given as follows.

The formula for slope of line with points and can be expressed as,

Given:

The inequalities are as follows.

(a).

(b).

(c).

(d).

Explanation:

The line intersects y-axis at , therefore the y-intercept is 3.

The points are and

The slope of the line can be obtained as follows.

The slope of the line is

Now check whether the inequality included origin or not.

Substitute in the inequality

0 is less than 3 which means that the inequality does include origin.

Kindly refer to the image attached.

The line represents the inequality Option (d) is correct.

Learn more:

1. Learn more about inverse of the functionhttps://.

2. Learn more about equation of circle .

3. Learn more about range and domain of the function

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear inequalities

Keywords: numbers, slope, slope intercept, inequality, equation, linear inequality, shaded region, y-intercept, graph, representation, origin.

step-by-step explanation: