Hello!
To find the distance between the points (1, 25) and (4, 21), you need to use the distance formula.
The distance formula is: [tex] d =\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} [/tex]. With the distance formula, you have to assign the ordered pairs before substituting them into the formula, which is also used to to find the slope of functions.
[tex] d =\sqrt{(21-25)^{2}+(4-1)^{2}} [/tex]
[tex] d =\sqrt{(-4)^{2}+(3)^{2}} [/tex]
[tex] d=\sqrt{25} [/tex]
[tex] d=5 [/tex]
Therefore, the distance between the two points is 5 units.
