Randolph is creating rectangle wxyz so that wx has an equation of y=1/4x+4. segment xy must pass through the point (-2,6). which of the following is the equation for xy?

y = -4x - 2

Step-by-step explanation:

The general equation of the line is : y = mx + c

Where m is the slope and c is constant

WX has an equation : y = (1/4) x + 4

XY and WX are perpendicular because they represents sides of a rectangular.

So, multiplication of the slopes of both lines = -1

∵ slope of WX = 1/4

∴ slope of XY = -4

∴ y = -4x + c

To find c, substitute with (-2,6)

∴ 6 = -2 * -4 + c ⇒ c = -2

∴ y = -4x - 2

So, The equation of XY ⇒ y = -4x - 2

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk