\begin{tabular}{l} What does the following equation represent? \\ \( y-\frac{2}{5} x=3 \) \\ A line with slope \( -\frac{2}{5} \) and \( y \)-intercept \( (0,3) \) A \\ A line with slope with slope \( \frac{2}{5} \) and \( y \)-intercept \( (0,3) \) \\ A circle with center \( \left(0,-\frac{2}{5}\right) \) \\ Somtercept \( (0,-3) \) \\ \hline\end{tabular}

The equation \( y - \frac{2}{5}x = 3 \) can be rearranged into the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. By rewriting, we have \( y = \frac{2}{5}x + 3 \). This clearly shows that the slope is \( \frac{2}{5} \) and the y-intercept is \( (0, 3) \). So, this is a straight line that rises gradually as \( x \) increases. When graphing this equation, start at the y-intercept point (0, 3) on the y-axis. From there, use the slope \( \frac{2}{5} \) to find another point: for every 5 units you move to the right on the x-axis, move up 2 units on the y-axis. This will give you a visual understanding of how the line stretches and where it crosses the axes!