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Which linear inequality represents the graph below (-3 3) (0 1)

User Bert Wagner
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1 Answer

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Final answer:

To find the linear inequality that represents a graph, you need to determine the line's slope and y-intercept. Without additional context or a specific graph, it is not possible to define an exact inequality from only two points provided.

Step-by-step explanation:

Finding the Linear Inequality for a Graph

To determine which linear inequality represents a graph, we first need to identify the slope and y-intercept of the boundary line of the inequality. These elements are crucial to writing the equation of a line in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

From the provided information, if we consider a graph that has a y-intercept of 9 and a slope of 3, the equation for a line with a positive slope would be y = 3x + 9. This line would slope upward to the right as (b>0). A horizontal line would have a slope of 0 (b=0); therefore, the equation would simply be y = a, where a is the value at which the line cuts the y-axis.

Applying these principles to your question, if you have the points (-3, 3) and (0, 1) these do not directly correspond to the examples provided. However, based on the concept explained, you can still use the points to determine the slope and then find the equation of the line.

Given the student's question, if they have additional context or an actual graph to refer to, that information would be required to provide a specific linear inequality that matches their criteria. Therefore, unless additional details are given, it's not possible to define an exact linear inequality only from the two points mentioned initially.

User Jsttn
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