Find the slope and $y$-intercept of the following linear equation. Express the $y$-intercept as a coordinate pair.
\[
y=\frac{2}{5} x-4
\]
Answer
Final Answer: The slope of the line is \(\boxed{0.4}\) and the y-intercept is \(\boxed{(-4, 0)}\).
Step 1 ：The given equation is in the form of a linear equation, which is \(y=mx+b\), where \(m\) is the slope and \(b\) is the y-intercept.
Step 2 ：From the equation \(y=\frac{2}{5}x-4\), we can directly identify the slope and y-intercept.
Step 3 ：The slope \(m\) is the coefficient of \(x\), which is \(\frac{2}{5}\) or 0.4.
Step 4 ：The y-intercept \(b\) is the constant term, which is -4. The y-intercept is a point on the y-axis where the line crosses, so it is expressed as a coordinate pair (-4, 0).
Step 5 ：Final Answer: The slope of the line is \(\boxed{0.4}\) and the y-intercept is \(\boxed{(-4, 0)}\).
