To change linear equations into slope-intercept form, which looks like this: (y = mx + b), you can follow these simple steps:

1. Start with the equation: Begin with a normal linear equation, like (2x + 3y = 6).

2. Get (y) all by itself: You need to rearrange the equation so that (y) is alone on one side.

   • First, take away (2x) from both sides: $3y = -2x + 6$
   • Next, divide everything by 3: $y = -\frac{2}{3}x + 2$

3. Find the slope (m) and y-intercept (b): Now, it’s in the right form (y = mx + b). Here, (m) (the slope) is (-\frac{2}{3}) and (b) (the y-intercept) is (2).

By using this method, you can quickly find the slope and the intercept!