Question

Describe the graph of the line y = -5.

(Its not vertical line, I already tried that and it was wrong)

A. crosses the x-axis

B. line with slope of -5

C. vertical line

D. horizontal line

Answer 1

The graph of the line y = -5 is a horizontal line at the negative value of -5 on the y-axis, with a slope of 0, and runs parallel to the x-axis.

Step-by-step explanation:

The graph of the line y = -5 represents a horizontal line on the Cartesian coordinate system. This is because the equation does not have an x variable; therefore, the value of y remains constant at -5 for all values of x. Unlike a vertical line which has an undefined slope, a horizontal line has a slope of 0. This means that there is no rise on the vertical axis as x increases, indicating that the line is completely flat and runs parallel to the x-axis. Therefore, the graph does not cross the x-axis, does not have a slope of -5, and is not a vertical line but rather a horizontal line at a negative value on the y-axis.