Question

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

Explanation:

Step1: Recall slope - concept

The slope $m$ of a line is given by $m=\frac{\Delta y}{\Delta x}$. If the line falls from left - to - right, $\Delta y<0$ when $\Delta x > 0$.

Step2: Analyze the line

For the given line, as $x$ increases (moves from left to right), $y$ decreases. So, $\frac{\Delta y}{\Delta x}<0$.

Answer:

D. The slope of the line is negative.