Answer:
The slope of line [tex]LM[/tex] is [tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
Line [tex]JK[/tex] has the slope [tex]\frac{3}{4}[/tex] and is perpendicular to line [tex]LM[/tex]
Suppose, the slope of line [tex]LM[/tex] is [tex]m[/tex]
We know that, the product of the slopes of two lines which are perpendicular to each other is always [tex]-1[/tex]. So, the equation will be..............
[tex]\frac{3}{4}*m= -1\\ \\\frac{3m}{4}=-1\\ \\ 3m= -4\\ \\ m=-\frac{4}{3}[/tex]
So, the slope of line [tex]LM[/tex] will be [tex]-\frac{4}{3}[/tex]
