To do that;
we will first find slope of JK and then slope LM and then we will compare their slope to ssee whether they are parallel or perpendicular
J(-10, -7), K(-4, 1)
Formular for finding slope is;
slope =y₂-y₁ /x₂ -x₁
From the points JK
x₁= -10 y₁=-7 x₂=-4 y₂=1
Substituting the points into the formula;
slope= 1-(-7) /-4-(-10)
=1+7/-4+10
=8/-6
=-4/3
Let's call the first slope m₁
Hence m₁= -4/3
Next, we will go ahead and find the slope of LM
The points are;
L(-3, 2), M(-6, 6)
x₁=-3 y₁=2 x₂=-6 y₂=6
slope =y₂-y₁ / x₂ - x₁
slope= 6-2 /-6+3
=4/-3
=-4/3
m₂=-4/3
Parallel equations have the same slope
That is;
m₁=m₂
Hence the equations are parallel