Question

Line r passes through the points (1,1) and (8,9) . line s is perpendicular to r what is the slope of line s?

Answer 1

Answer:
`(-7)/(8)`

Explanation:

First, we will need to find the slope of line r.

`\displaystyle (y_(2) -y_(1) )/(x_(2) -x_(1)) =(9-1)/(8-1)=(8)/(7)`

Next, we know that perpendicular slopes are negative reciprocals of one another. To find the slope of line s, we will find the negative reciprocal of line r's slope.

`\displaystyle (8)/(7) \rightarrow (-7)/(8)`