Math  /  Geometry

QuestionFor each line, determine whether the slope is positive, negative, zero, or undefined. \begin{tabular}{|c|c|c|c|} \hline Line 1 & Line 2 & Line 3 & Line 4 \\ \hline y\uparrow y & & & \\ \hline Positive Negative Zero Undefined & Positive Negative Zero Undefined & Positive Negative Zero Undefined & Positive Negative Zero Undefined \\ \hline \end{tabular}

Studdy Solution

STEP 1

1. A horizontal line has a slope of zero.
2. A line sloping downward from left to right has a negative slope.
3. A line sloping upward from left to right has a positive slope.
4. A vertical line has an undefined slope.

STEP 2

1. Analyze Line 1.
2. Analyze Line 2.
3. Analyze Line 3.
4. Analyze Line 4.

STEP 3

Analyze Line 1: - Line 1 is a horizontal line. - By assumption, a horizontal line has a slope of zero.

STEP 4

Analyze Line 2: - Line 2 is sloping downward from left to right. - By assumption, a line sloping downward has a negative slope.

STEP 5

Analyze Line 3: - Line 3 is sloping upward from left to right. - By assumption, a line sloping upward has a positive slope.

STEP 6

Analyze Line 4: - Line 4 is a vertical line. - By assumption, a vertical line has an undefined slope.
The slopes for each line are as follows: - **Line 1**: Zero - **Line 2**: Negative - **Line 3**: Positive - **Line 4**: Undefined

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