Bush Greene
01/02/2024 · Junior High School
Find the \( y \)-intercept and the slope of the line. \[ y=-x+2 \]
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Step-by-step Solution
To find the \( y \)-intercept and the slope of the line given by the equation
\[
y = -x + 2,
\]
we can identify the slope-intercept form of a linear equation, which is
\[
y = mx + b,
\]
where \( m \) is the slope and \( b \) is the \( y \)-intercept.
From the equation \( y = -x + 2 \):
- The coefficient of \( x \) is \(-1\), which means the slope \( m \) is
\[
m = -1.
\]
- The constant term is \( 2\), which means the \( y \)-intercept \( b \) is
\[
b = 2.
\]
Thus, the \( y \)-intercept is \( 2 \) and the slope is \(-1\).
In summary:
- \( y \)-intercept: \( 2 \)
- Slope: \( -1 \)
Quick Answer
The \( y \)-intercept is \( 2 \) and the slope is \( -1 \).
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