To plot points correctly on a coordinate plane, just follow these simple steps:

1. Understand the Coordinate System:
   The coordinate plane has two lines:

• The horizontal line is called the $x$-axis.
• The vertical line is called the $y$-axis.

Each point on this plane is shown with two numbers written as $(x, y)$.

2. Identify the Axes:
   Make sure your axes are labeled properly.

• The $x$-axis goes left to right.
• The $y$-axis goes up and down.

3. Locate Points:
   To find a point like $(a, b)$:

• First, move $a$ units along the $x$-axis.
  • If $a$ is a positive number, go to the right.
  • If $a$ is negative, go to the left.
• Next, move $b$ units along the $y$-axis.
  • If $b$ is positive, go up.
  • If $b$ is negative, go down.

4. Mark the Point:
   When you finish moving, mark the point with a dot or a small cross so it's clear.

5. Check Your Work:
   Make sure the point's numbers are right, especially if you’re plotting many points.

Remember, being accurate when you plot points is important. If you place a point incorrectly, it can make things confusing when you look at the graph later!