Find the length of the line segment joining the two given points by finding the equation of the line using Equation (2). Then check your answer by using the distance formula. (0, 0), (1, 8)
B)9

Question

Quizplus · Accepted Answer

Using Equation (2) to find the equation of the line passing through (0,0) and (1,8):
$y-0=\frac{8-0}{1-0}(x-0) \Rightarrow y=8x$
The distance formula between the two points: 
$\sqrt{(1-0)^2+(8-0)^2}=\sqrt{65}$
Therefore, the length of the line segment joining the two given points is $\sqrt{65}$, which matches the answer in choice C.

Find the Length of the Line Segment Joining the Two