Answer
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Step 1:: Recall the definition of slope.
slope = \frac{rise}{run}
The slope of a line is a measure of how steep the line is and is given by the formula:
Step 2:: A slope of 3 means that for every unit increase in the x-direction (run), there is a 3 -unit increase in the y-direction (rise).
This results in a line with a constant rise of 3 units for each step in the x-direction.
Step 3:: Consider the following graph with a slope of 3:
Step 4:: In this graph, for every unit increase in the x-direction, the y-value increases by 3.
This is evident as you move from left to right along the line, with the y-value consistently increasing by 3 for each step in the x-direction.
Final Answer
The graph showing a line with a slope of 3 is the one provided in the content of the question.
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