Finney, R. L., Giordano, F. R., Weir, M. D., Thomas, G. B., Jr., & Calculus and analytic geometry. (2001). Thomas’ calculus (Tenth edition / based on the original work by George B. Thomas, Jr.,as revised by Ross L. Finney, Maurice D. Weir, and Frank R. Giordano.). Addison-Wesley.
The coodinates of point $P(a,b)$ are $a$ and $b$. $a$ is x coordinate of P whereas, $b$ is the y coordinate of P.
Now if there is some change in its coordinates, then it is referred to as increment.
$\Delta x = x_2 – x_1$ and $\Delta y = y_2 – y_1$.
Similarly, distance between two points on $P(x_1, y_1)$ and $Q(x_2, y_2) can be provided by pythogorean theorem as,
$d = \sqrt{(\Delta x)^2 + (\Delta y)^2}$
The slope of a line with two points $P_1(x_1, y_1)$ and $P_2(x_2,y_2)$ is provided by $m=\frac{rise}{run}$.
