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.
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.
Solution
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 \((0, -6)\).