Questions: Determine the slope and y-intercept of the line y=5. slope = undefined; y-intercept =5 slope =0 ; y-intercept =5 slope =5 ; y-intercept =0 slope =5 ; y-intercept = undefined

Determine the slope and y-intercept of the line y=5. slope = undefined; y-intercept =5 slope =0 ; y-intercept =5 slope =5 ; y-intercept =0 slope =5 ; y-intercept = undefined

Transcript text: ents Question 5 1 pts Determine the slope and $y$-intercept of the line $y=5$. If you are stuck and need help with this question, please review this resource $巴$. slope $=$ undefined; $y$-intercept $=5$ slope $=0 ; y$-intercept $=5$ slope $=5 ; y$-intercept $=0$ slope $=5 ; y$-intercept $=$ undefine $d$

Solution

Solution Steps

To determine the slope and y-intercept of the line given by the equation $ y = 5 $, we recognize that this is a horizontal line. The slope of a horizontal line is 0, and the y-intercept is the constant value of $ y $, which is 5.

Step 1: Identify the Type of Line

The equation given is $ y = 5 $. This represents a horizontal line where the value of $ y $ remains constant at 5 for all values of $ x $.

Step 2: Determine the Slope

For a horizontal line, the slope $ m $ is defined as the change in $ y $ divided by the change in $ x $. Since there is no change in $ y $ (it remains 5), the slope is: \[ m = 0 \]

Step 3: Determine the y-Intercept

The y-intercept is the point where the line crosses the y-axis. For the equation $ y = 5 $, the line crosses the y-axis at $ (0, 5) $. Therefore, the y-intercept is: \[ b = 5 \]