$\"\"$

The Given points are (1,2) and (7,10).

The equation of the line passes through the two points is $\"\"$ .

The slope of the line is $\"\"$ .

Then, the equation of a line $\"\"$ , $\"\"$

The distance is

$\"\"$ (Formula for arc length)

$\"\"$ ( $\"\"$ )

$\"\"$ ( $\"\"$ ) $\"\"$

$\"\"$ (Add)

$\"\"$ ( $\"\"$ )

$\"\"$ (Integrate)

$\"\"$ (Substitute)

$\"\"$ (Subtract)

$\"\"$ (Simplify) \ \ $\"\"$

The solution is 10.