Question

identify the slope and y-intercept for the linear equation below.
$y = \frac{2}{3}x - 8$
show your work here
slope =
y-intercept

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) is the slope and \(b\) is the \(y\) - intercept.

Step2: Identify slope (\(m\))

For the given equation \(y=\frac{2}{3}x - 8\), comparing it with \(y = mx + b\), the coefficient of \(x\) is \(\frac{2}{3}\). So, the slope \(m=\frac{2}{3}\).

Step3: Identify \(y\) - intercept (\(b\))

Comparing \(y=\frac{2}{3}x - 8\) with \(y = mx + b\), we can rewrite \(- 8\) as \(+(-8)\). So, \(b=-8\), which is the \(y\) - intercept.

Answer:

Slope: \(\frac{2}{3}\)
\(y\) - intercept: \(-8\)