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

if i put something wrong your not gonna like it so rather not say nothing.

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: