Question

find the slope and y-intercept of the line. graph the line.
y = -5

select the correct choice and, if necessary, fill in the answer box to complete your choice.
a. slope =
(type an integer or a simplified fraction.)
b. the slope is undefined.
select the correct choice and, if necessary, fill in the answer box to complete your choice.
a. y-intercept =
(type an integer or a simplified fraction.)
b. the line y = -5 does not have a y-intercept.
use the graphing tool to graph the equation.
click to enlarge graph

Explanation:

Step1: Analyze the line equation

The equation \( y = -5 \) is a horizontal line. For a horizontal line in the form \( y = k \) (where \( k \) is a constant), the slope is 0 because there is no change in \( y \) for any change in \( x \) (slope \( m=\frac{\Delta y}{\Delta x} \), and \( \Delta y = 0 \) here).

Step2: Find the y - intercept

The y - intercept is the point where the line crosses the y - axis. For the line \( y=-5 \), when \( x = 0 \), \( y=-5 \). So the y - intercept is \( -5 \).

Answer:

For the slope:
A. Slope \(=\boxed{0}\)

For the y - intercept:
A. y - intercept \(=\boxed{-5}\)