Question

State whether the slope of the line is positive, negative, zero, or undefined.

Answer 1

Answer:

The correct answer option is negative slope.

Step-by-step explanation:

When the line is sloping down from left to right, it means the slope has a negative value. It means that a negative change in y is related with a positive change in x.

A line going up from left to right has a positive slope.

A parallel line to x-axis (horizontal line) has a zero slope.

While a line parallel to y-axis (vertical line) has an undefined slope.

Answer 2

The slope of the line is equal to $\tan \alpha,$ where angle $\alpha$ is angle of line incline to the positive x-direction.

• When $\alpha$ is acute, then slope is positive;
• When $\alpha$ is obtuse, then slope is negative;
• When $\alpha$ is right, then slope is undefined;
• When $\alpha$ is zero, then slope is equal to 0.

In your case angle of inclination is obtuse and slope is negative.

Answer: correct choice is B