Question

Line JK has the slope 3/4 and is perpendicular to line LM. What is the slope of line LM?

Answer 1

Answer:

The slope of line $LM$ is  $-\frac{4}{3}$

Step-by-step explanation:

Line $JK$ has the slope $\frac{3}{4}$ and is perpendicular to line $LM$

Suppose, the slope of line $LM$ is  $m$

We know that, the product of the slopes of two lines which are perpendicular to each other is always $-1$.  So, the equation will be..............

$\frac{3}{4}*m= -1\\ \\\frac{3m}{4}=-1\\ \\ 3m= -4\\ \\ m=-\frac{4}{3}$

So, the slope of line $LM$ will be $-\frac{4}{3}$