Sure! You can change a standard form equation into slope-intercept form.

This is a useful skill in algebra, and I remember feeling really proud when I learned how to do it. Here’s how you can change it step by step:

1. Start with the Standard Form:

The standard form of a linear equation looks like this:
$Ax + By = C$
Here, $A$, $B$, and $C$ are just numbers.

2. Isolate $y$:

To change it to slope-intercept form, we need to make $y$ the main focus. So, first, move $Ax$ to the other side:
$By = -Ax + C$

3. Divide by $B$:

Next, divide everything by $B$ to get $y$ by itself:
$y = -\frac{A}{B}x + \frac{C}{B}$

Now you have the slope-intercept form, which looks like this:
$y = mx + b$
In this case, $m = -\frac{A}{B}$ (which is the slope) and $b = \frac{C}{B}$ (which is the y-intercept).

4. Interpret:

This form shows you clearly what the slope and intercept are. This makes it easier to graph the equation or see how it behaves.

It takes practice, but once you understand it, it feels much easier!