Answer:
[tex]\sqrt{109}[/tex] 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(-4,-3)[/tex] and [tex](x_2,y_2)\rightarrow(-1,7)[/tex]:
[tex]d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(7-(-3))^2+(-1-(-4))^2}\\\\d=\sqrt{10^2+3^2}\\\\d=\sqrt{100+9}\\\\d=\sqrt{109}[/tex]
Therefore, the distance between [tex](-4,-3)[/tex] and [tex](-1,7)[/tex] is [tex]\sqrt{109}[/tex] units
