Problem

For each line, determine whether the slope is positive, negative, zero, or undefined.

Answer

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Answer

\(\boxed{\text{The function `determine_slope` can be used to determine whether the slope of a line is positive, negative, zero, or undefined.}}\)

Steps

Step 1 :Determine the slope of a line given two points on the line. The slope is calculated by the change in y-values divided by the change in x-values, also known as rise over run.

Step 2 :If the line is vertical, the slope is undefined.

Step 3 :If the slope is positive, the line rises from left to right.

Step 4 :If the slope is negative, the line falls from left to right.

Step 5 :If the slope is zero, the line is horizontal.

Step 6 :Use the function `determine_slope` to calculate the slope and check if it is positive, negative, zero, or undefined.

Step 7 :\(\boxed{\text{The function `determine_slope` can be used to determine whether the slope of a line is positive, negative, zero, or undefined.}}\)

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