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 :

Answer: [tex]\frac{-7}{8}[/tex]

Step-by-step explanation:

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

[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1}} =\frac{9-1}{8-1}=\frac{8}{7}[/tex]

    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.

[tex]\displaystyle \frac{8}{7} \rightarrow \frac{-7}{8}[/tex]