A linear equation is usually written like this:

$ax + by = c$

In this equation:

• $a$, $b$, and $c$ are constant numbers.
• $x$ and $y$ are the variables we can change.

Parts of a Linear Equation:

1. Coefficients:

   • The numbers $a$ and $b$ are called coefficients.
   • They show how steep the line is and which direction it goes.
   • For instance, in the equation $2x + 3y = 6$, the coefficients are 2 and 3.

2. Constants:

   • The number $c$ is a constant. It tells us where the line crosses the y-axis when we draw it.
   • In our example, if we rearrange it, we find that the y-intercept is 2.

3. Variables:

   • The letters $x$ and $y$ are variables. These can change.
   • The equation shows all the different pairs of $x$ and $y$ that work together in the equation.

4. Different Forms:

   • A linear equation can also look like this: $y = mx + b$.
   • Here, $m$ is the slope and $b$ is the y-intercept.
   • For example, in the equation $y = 2x + 2$, $m$ is 2 and $b$ is 2, which means the line goes up in a positive way.

Knowing these parts helps us to draw, solve, and understand linear equations better.