### Home > CALC > Chapter 10 > Lesson 10.1.8 > Problem 10-81

10-81.

Find the arclength of the curve *y* = *mx* + *b *(*m* ≠ 0) from *x* = *k* _{l} to *x* = *k* _{2} (*k* _{l} < *k* _{2}) using the arclength formula. Then verify your result using the Pythagorean theorem. Illustrate your work with a diagram. Homework Help ✎

If you were to create a slope triangle for the points (*k*_{1}, *k*_{1}*m* + *b*) and (*k*_{2}, *k*_{2}*m* + *b*), what would be the length of each leg of the slope triangle?