Answer:
[tex]\sqrt{17}[/tex]
Step-by-step explanation:
The distance formula between two points is [tex]\sqrt{(x_{2} - x_{1})^{2} +(y_{2}-y_{1})^2 }[/tex].
The points given are (2,4) and (6,-5). Now we substitute values for x₂, x₁, y₂, and y₁. (Remember: x₂ is the x-value of the second point, and x₁ is the x-value for the first point, and so on.)
Once substituted, we get: [tex]\sqrt{(6-2)^2+(-5+4)^2}[/tex].
1.) [tex]\sqrt{(4)^2+(-1)^2}[/tex]
2.)[tex]\sqrt{16+1}[/tex]
3.)[tex]\sqrt{17}[/tex]
**4.) 4.123
**Optional step
