Question
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Find the slope and the \( y \)-intercept of the graph of the linear equation. \( y=-1 \) The slope is \( \square \) and the \( y \)-intercept is

Ask by Ball Carter. in the United States
Nov 26,2024

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Tutor-Verified Answer

Answer

The slope is \( 0 \) and the \( y \)-intercept is \( -1 \).

Solution

\( \square \). To find the slope and the \( y \)-intercept of the linear equation \( y = -1 \), we need to understand the equation in the form of \( y = mx + b \), where \( m \) is the slope and \( b \) is the \( y \)-intercept. Given equation: \( y = -1 \) This equation is already in the form of \( y = mx + b \), with \( m = 0 \) and \( b = -1 \). So, the slope is \( 0 \) and the \( y \)-intercept is \( -1 \). The slope is \( \boxed{0} \) and the \( y \)-intercept is \( \boxed{-1} \).

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Beyond the Answer

The equation \( y = -1 \) represents a horizontal line where every point on the line has a \( y \)-value of -1. Since it doesn't rise or fall, the slope is \( 0 \). The \( y \)-intercept, which is the point where the line crosses the \( y \)-axis, is \( (0, -1) \). So, the slope is \( 0 \) and the \( y \)-intercept is \( -1 \).

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