Step-by-step explanation:
Hey there!
The points are; A(4,6) and B(-3,9).
Using distance formula,
[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
Putc all values .
[tex]d = \sqrt{ {( - 3 - 4)}^{2} + ( {9 - 6)}^{2} } [/tex]
Simplify it.
[tex]d = \sqrt{ {( - 7)}^{2} + {3}^{2} } [/tex]
[tex]d = \sqrt{49 + 9} [/tex]
[tex] = \sqrt{58} [/tex]
Therefore the distance between two points is root 58 units Or 7.61 units.
Hope it helps...
