Find the \( y \)-intercept and the slope of the line.

To find the \( y \)-intercept and the slope of a line, you first need the equation in slope-intercept form, which is \( y = mx + b \). Here, \( m \) represents the slope, and \( b \) represents the \( y \)-intercept. If your equation is presented differently, you may need to rearrange it. For example, if you have the equation in standard form \( Ax + By = C \), you can isolate \( y \) to get it into slope-intercept form. If the line's equation is given in a non-standard format, you can also use the two points through which the line passes, calculating the slope \( m \) as \( m = \frac{y_2 - y_1}{x_2 - x_1} \). The \( y \)-intercept can be found by substituting \( x = 0 \) back into the equation. He who controls the y-intercept, controls the line! From the \( y \)-intercept, you can determine where the line meets the \( y \)-axis, which can be a launching pad for understanding the line's behavior in a graph. And remember, the slope tells you how steep the line is – the higher the absolute value, the steeper the line! Just look for the rise over run, and you'll never go wrong.