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
Transcript text: student.uagcedu
Quiz: Week 1 - Homework
Grammarly
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Question 1
5
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
Step 1: Analyze the equation
The given equation is \( y = 5 \). This is a horizontal line because the value of \( y \) is constant for all \( x \).
Step 2: Determine the slope
For a horizontal line, the slope is always \( 0 \) because there is no change in \( y \) as \( x \) changes. Therefore, the slope is \( 0 \).
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 \( y = 5 \). Therefore, the \( y \)-intercept is \( 5 \).