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
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Question 5
1 pts
Determine the slope and $y$-intercept of the line $y=5$.
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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
Final Answer
The slope is 0 and the y-intercept is 5. Thus, the final answers are:
m=0b=5