6x - 4y = 30
-4y = -6x + 30
y = 3/2x - 15/2....slope here is 3/2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign. So ur perpendicular line will have a slope of -2/3 (see how I flipped 3/2 making it 2/3...and then changed the sign, making it -2/3)
answer : perpendicular line will have a slope of -2/3.
We know that
angle F=180°-(40+87)°=53°
applying the law of sines
EF/sin G=EG/sin F
EF=x
EG=13 cm
G=87°
F=53°
so
x/sin 87°=13/sin 53°---------> x=sin 87*(13/sin 53°)-------> x=16.3 cm
The answer is
x=16.3 cm

so our slope is undefined, that means a vertical line, check the picture below
You know how a puppy is a kind of dog, but not all dogs are puppies? Well, the same thing is true for lots of other categories of things, including squares and rectangles.