Answer:
5 units
Step-by-step explanation:
To find the distance between two points on a graph, we use the distance formula [tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2[/tex] where [tex]d[/tex] is the distance between points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex].
For this problem, we will identify [tex](x_1,y_1)\rightarrow(-1,5)[/tex] and [tex](x_2,y_2)\rightarrow(2,9)[/tex]:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(9-5)^2+(2-(-1))^2}\\\\d=\sqrt{(4)^2+(3)^2}\\\\d=\sqrt{16+9}\\\\d=\sqrt{25}\\\\d=5[/tex]
Therefore, the distance between [tex](-1,5)[/tex] and [tex](2,9)[/tex] is 5 units
