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 $d$
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Solution

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Solution Steps

To determine the slope and y-intercept of the line given by the equation y=5 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 y , which is 5.

Step 1: Identify the Type of Line

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

Step 2: Determine the Slope

For a horizontal line, the slope m m is defined as the change in y y divided by the change in x x . Since there is no change in y y (it remains 5), the slope is: m=0 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 y = 5 , the line crosses the y-axis at (0,5) (0, 5) . Therefore, the y-intercept is: b=5 b = 5

Final Answer

The slope is 0 0 and the y-intercept is 5 5 . Thus, the final answers are: m=0 \boxed{m = 0} b=5 \boxed{b = 5}

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