Question

state whether the slope of the line is positive, negative, 0, or is undefined. choose the correct answer below. a. positive b. negative c. zero d. undefined

Explanation:

Step1: Recall slope - definition

The slope of a line is given by $m=\frac{y_2 - y_1}{x_2 - x_1}$. 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 corresponds to 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.

Answer:

B. negative