Garza Lambert
12/12/2023 · Elementary School
Find the slope and the \( y \)-intercept of the line with the given equation. \( f(x)=2-\frac{8}{9} x \)
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Step-by-step Solution
To find the slope and the \( y \)-intercept of the line given by the equation \( f(x) = 2 - \frac{8}{9} x \), we can rewrite the equation in the slope-intercept form, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the \( y \)-intercept.
The given equation is:
\[
f(x) = 2 - \frac{8}{9} x
\]
We can rearrange it to match the slope-intercept form:
\[
f(x) = -\frac{8}{9} x + 2
\]
From this form, we can identify:
- The slope \( m \) is \( -\frac{8}{9} \).
- The \( y \)-intercept \( b \) is \( 2 \).
Thus, the slope is \( -\frac{8}{9} \) and the \( y \)-intercept is \( 2 \).
Quick Answer
The slope is \( -\frac{8}{9} \) and the \( y \)-intercept is \( 2 \).
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