ANSWER
The distance is 10 units.
EXPLANATION
Let us use the distance formula to find the distance between,
[tex](x_1,y_1)=(1,4)[/tex]
and
[tex](x_2,y_2)=( - 5, - 4)[/tex]
The distance formula is given by,
[tex]d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} [/tex]
We plug in the values to get,
[tex]d = \sqrt{( - 5-1)^2 + ( - 4-4)^2} [/tex]
[tex]d = \sqrt{( -6)^2 + ( - 8)^2} [/tex]
[tex]d = \sqrt{36+ 64} [/tex]
[tex]d = \sqrt{100} [/tex]
[tex]d = 10[/tex]
