To find the slope and y-intercept from a linear equation in standard form, which looks like (Ax + By = C), you can follow these easy steps:

1. Change the equation: You need to turn it into slope-intercept form, which is (y = mx + b). In this form, (m) represents the slope, and (b) represents the y-intercept.

   • Example: Let’s take the equation (2x + 3y = 6).
     First, subtract (2x) from both sides:
     (3y = -2x + 6)
     Next, divide everything by 3:
     (y = -\frac{2}{3}x + 2)

2. Find the slope and y-intercept:

   • Slope ((m)): In this case, (m = -\frac{2}{3}).
   • Y-intercept ((b)): Here, (b = 2).

So, the slope is (-\frac{2}{3}), and the y-intercept is (2).

Pretty simple, right?