Answer:
Step-by-step explanation:
the original slope is:
[tex]m_1=-\frac{5}{6}[/tex]
Perpendicular lines have slopes that are the opposite of the reciprocal of each other. In this case, the slope of the first line is [tex]-\frac{5}{6}[/tex], so the reciprocal value is:
[tex]m_2=-\frac{1}{m1}=\frac{6}{5}[/tex]
hence all the lines that have slope iqual to 6/5 are perpendicular to the original line. There are infinite lines. the general equation of those lines are:
[tex]y=\frac{5}{6}x+b,~ b\in R[/tex]
