The lines shown below are perpendicular. If the green line has a slope of 2/5 , what is the slope of the red line?

A.

B.

C.
-

D.
-

C.

Step-by-step explanation:

If two lines on a graph are perpendicular to each other, their slope is said to be negative reciprocals of each other. This means the slope of one, is the negative reciprocal of the other.

This can be represented as

Where, are slopes of 2 lines (i.e. the red and green lines given in the question) that are perpendicular to one another.

Thus, the slope of the red line would be:

The slope of the red line =

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)