2. On rectangle ABCD below, if A is located at

(3, 4) and B is located at (7,6), is the slope

of BC ?

The slope of BC is -2.

Step-by-step explanation:

We know that a rectangle has all opposite sides equal and parallel.

Each interior angle is a right angle.

Therefore , if rectangle ABCD is a rectangle then , AB should perpendicular to  BC.   [ ∵ Angle between AB and BC is 90° .]   (1)

Also , slope of line passing through (a,b) and (c,d) :  

If A is located at (3, 4) and B is located at (7,6) .

Then , The slope of AB =

Also, the product of slopes of two perpendicular lines is -1.

Then , (Slope of AB) x  (Slope of BC) = -1     [From (1)]

Hence, the slope of BC is -2.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w