Which of the following best describes the slope of the line below

The correct option is C, i.e., Negative slope.

Explanation:

Reason for correct option:

From the given graph it is noticed that the as  the value of x increases the value of y is decreased. This inverse relationship between the values of x and y shows that the line have negative slope and the correct option is C.

Reason for incorrect option:

If the relationship between x and y is positive (y increase as x increase and vice versa), then the slope is positive. So, the option A is incorrect.

If the value of y changes without any change in the value of x , then it is an undefined slope. It is represented by a horizontal line. So the option B is incorrect.

If the value of x changes but the value of y remains constant, then the slope of line is zero, it is defined by a vertical line. So, the option D is incorrect.

If slope is represented by m, then the line having different slopes are shown in below figure.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,