The graph shows the solution to a system of inequalities: Solid line joining ordered pairs 0, 3 and 7, 0. Shade the portion of the graph below the line in the first and fourth quadrants.

The solution is given by the Black Region.

We have two points (0,3) and (7,0)

Plot both point on the graph.  

The line passes through two points (0,3) and (7,0)  

We have two condition

Blue region satisfies this condition.

The solution is represented by Both the conditions combined.  

The Black region satisfies both the conditions.

Therefore, the solution is given by the Black Region.

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Consider the point (0,3) as point A.

Consider the point (7,0) as point B.

Plot both point on the graph.

Graph a line which passed through both the lines.

There are two conditions given to us in the question.

First condition is the we have to shade the graph below the given line.

The blue region in the graph satisfies this condition.

Second condition is that we have to shade the first and fourth quadrant, which means than the value of x is equal to or greater than zero. Red region satisfies this condition.

As the solution is represented by Both the conditions combined.  The purple area satisfies both the conditions, hence solution is given by the Purple Region

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

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step-by-step explanation: