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identify the line that could have the slope 0. choose the correct graph…

Question

identify the line that could have the slope 0. choose the correct graph below.

Explanation:

Step1: Recall slope - definition

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. A slope of 0 means $y_2 - y_1=0$, so $y$ - values are constant.

Step2: Analyze graph features

A line with a constant $y$ - value is a horizontal line.

Answer:

A horizontal line has a slope of 0. Among the graphs, the horizontal - line graph is the correct one. Without seeing the full - clarity of the options, a horizontal line is the one where for different $x$ - values, the $y$ - value remains the same. If we assume the options are standard coordinate - plane graphs, the graph that is parallel to the $x$ - axis (horizontal) is the answer.