In mathematics, a point is a specific location in space. It is represented by a dot and has no size or dimension. A point is usually named using a single capital letter, such as "A".
Let's solve a few example problems to understand points better:
Solution: Using the distance formula: \[ \text{Distance} = \sqrt{(7 - 3)^2 + (1 - 4)^2} = \sqrt{4^2 + (-3)^2} = \sqrt{16 + 9} = \sqrt{25} = 5 \]
Solution: Start at the origin (0, 0) and move 2 units to the right on the x-axis and 5 units up on the y-axis to plot the point (2, 5).
Here are some key points to remember about points:
Practice plotting points on a coordinate plane and calculating distances between them to strengthen your understanding of points in mathematics.