Question

identify the slopes of the line as positive, negative, zero, or undefined. undefined zero negative positive

Explanation:

Step1: Recall slope - concept

The slope of a line is calculated as $m=\frac{y_2 - y_1}{x_2 - x_1}$. A positive - sloped line rises from left to right, a negative - sloped line falls from left to right, a zero - sloped line is horizontal, and an undefined slope occurs for a vertical line.

Step2: Analyze the given line

Looking at the graph of the line, as we move from left to right along the line, the $y$ - values decrease while the $x$ - values increase.

Step3: Determine the slope type

Since the line falls from left to right, the slope of the line is negative.

Answer:

Negative