Question

Which line is perpendicular to a line that has a slope of -5/6?

Answer 1

Answer:

Line LM

Step-by-step explanation:

Answer 2

Answer:

B

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$

Given m = - $\frac{5}{6}$, then

$m_{perpendicular}$ = - $\frac{1}{-\frac{5}{6} }$ = $\frac{6}{5}$

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 = $\frac{3+3}{0+5}$ = $\frac{6}{5}$

Hence the required line is LM