Question

write an equation in slope-intercept form for the line with slope \\(\frac{1}{3}\\) and y-intercept \\(-3\\).

Explanation:

Step1: Recall slope - intercept form

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

Step2: Substitute the given values

We are given that the slope \(m=\frac{1}{3}\) and the \(y\) - intercept \(b = - 3\). Substituting these values into the slope - intercept form \(y=mx + b\), we get \(y=\frac{1}{3}x+( - 3)\), which simplifies to \(y=\frac{1}{3}x - 3\).

Answer:

\(y=\frac{1}{3}x - 3\)