Finding the Distance Between Two Points: P(-7) and D(-1)
In high school mathematics, one of the fundamental concepts students learn is the distance formula. This formula allows us to calculate the distance between two points on a coordinate plane, given their coordinates.
To find the distance between two points, P(-7) and D(-1), we can use the distance formula:
$d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}$
where $(x1, y1)$ and $(x2, y2)$ represent the coordinates of the two points.
In this case, the coordinates of P are $(-7)$ and the coordinates of D are $(-1)$. Substituting these values into the distance formula, we get:
$d = \sqrt{(-1 - (-7))^2 + (0 - 0)^2}$ $d = \sqrt{6^2 + 0^2}$ $d = \sqrt{36}$ $d = 6$
Therefore, the distance between the two points, P(-7) and D(-1), is 6 units.
To summarize the steps:
- Identify the coordinates of the two points: P(-7) and D(-1).
- Substitute the coordinates into the distance formula: $d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2}$.
- Simplify the expression and calculate the square root to find the distance.
Understanding the distance formula and its application is crucial in high school mathematics, as it is often used in various geometric and coordinate plane problems.