Questions: Consider the following linear equation. y = -6 - 4x Step 1 of 2: Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.

Consider the following linear equation.
y = -6 - 4x

Step 1 of 2: Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.
Transcript text: Consider the following linear equation. \[ y=-6-4 x \] Step 1 of 2: Determine the slope and the $y$-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.
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Solution

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Solution Steps

Step 1: Identify the Slope and \(y\)-Intercept

The given linear equation is in the slope-intercept form, which is:

\[ y = mx + b \]

where \(m\) is the slope and \(b\) is the \(y\)-intercept.

Step 2: Extract the Slope and \(y\)-Intercept

From the equation \(y = -6 - 4x\), we can rewrite it as:

\[ y = -4x - 6 \]

Here, the slope \(m\) is \(-4\) and the \(y\)-intercept \(b\) is \(-6\).

Final Answer

The slope is \(-4\) and the \(y\)-intercept is \((-6)\). Therefore, the \(y\)-intercept as an ordered pair is \((0, -6)\).

\[ \boxed{\text{Slope: } -4, \text{ } y\text{-intercept: } (0, -6)} \]

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