Answer:
B
Step-by-step explanation:
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex]
Given m = - [tex]\frac{5}{6}[/tex], then
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{-\frac{5}{6} }[/tex] = [tex]\frac{6}{5}[/tex]
Since m > 0 then lines LM and No are the 2 possible lines
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = L(- 5, - 3) and (x₂, y₂ ) = M(0, 3)
m = [tex]\frac{3+3}{0+5}[/tex] = [tex]\frac{6}{5}[/tex]
Hence the required line is LM
