ANSWER
C. Yes, their slopes have product -1
Step-by-step explanation
The slope of the line connecting
P(1,3) and Q(7,8) is
![= (8 - 3)/(7 - 1)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/bkmq4pnwi6hxb7hgb2bmcwrqhz57twqvws.png)
![= (5)/(6)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/uolyfuwx3m3hw0xh7yk65teuqxc84gyxe7.png)
The slope of the line connecting
R(5,-7) and S(10,-13) is
![= ( - 13 - - 7)/(10 - 5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/izak4xqvpc7lvnwrqim80c3fphs1j0mmfz.png)
![= - (6)/(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/az4jci32m7jw87852b0q220plnwq5bzlgn.png)
Product of the two slopes is
![= (5)/(6) * - (6)/(5)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/paitgryzo01bfk6ecbciwqnpqxpowwuwnw.png)
![= - 1](https://img.qammunity.org/2020/formulas/mathematics/middle-school/hkukb9cej0xtoeene73bmty4e319dwd6a5.png)
Since the product is -1, the slopes are perpendicular.
The correct answer is C.