In order to find the distance between the given points, use the following formula:
[tex]d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]where (x1,y1) and (x2,y2) are the given points,
In this case, you have:
(x1,y1) = (1 , 4)
(x2,y2) = (7 , 12)
By replacing the previous values into the formula for d, you obtain:
[tex]\begin{gathered} d=\sqrt[]{(12-4)^2+(7-1)^2} \\ d=\sqrt[]{8^2+6^2^{}} \\ d=\sqrt[]{64+36} \\ d=\sqrt[]{100} \\ d=10 \end{gathered}[/tex]Hence, the distance between the given points is 10
