Question

line. 3. f(x) = -\frac{2}{5}x + 6 linear functio slope - intercept

Explanation:

Assuming the problem is to identify the slope and y - intercept of the linear function \(f(x)=-\frac{2}{5}x + 6\) (since it's a linear function in slope - intercept form \(y=mx + b\), where \(m\) is the slope and \(b\) is the y - intercept).

Step1: Recall the slope - intercept form

The slope - intercept form of a linear equation is \(y = mx + b\), where \(m\) represents the slope of the line and \(b\) represents the y - intercept (the value of \(y\) when \(x = 0\)).

Step2: Identify \(m\) and \(b\) from \(f(x)=-\frac{2}{5}x+6\)

For the function \(f(x)=-\frac{2}{5}x + 6\), comparing it with \(y=mx + b\), we can see that \(m=-\frac{2}{5}\) and \(b = 6\).

Answer:

The slope of the line is \(-\frac{2}{5}\) and the y - intercept is \(6\).