What is the length of the line of y equals 5x plus 10 that stretches across the parabola of y equals x squared plus 4 showing work?

Answer 1

If: y = x2+4 and y = 5x+10

Then: x2+4 = 5x+10

And: x2-5x-6 = 0

Solving the above quadratic equation: x = -1 or 6

So: when x = -1 then y = 5 and when x = 6 then y = 40

Points of intersection: (-1, 5) and (6, 40)

Length of line: the square root of [(6--1)2+(40-5)2] = 35.693 to 3 d.p.