I need it step by step please

1/2x-3

Step-by-step explanation:

First, make the equation 2y+4x=12 into a linear equation(y=mx+b)

2y=-4x+12

y=-2x+6

From this, you know the slope is -2.

The perpendicular of any slope is going to be the negative inverse.

negative inverse: a/b-->-b/a

so basically flip it and make it negative(make it positive if the original is negative).

So, for -2 it would be 1/2

Now right the equation for the perpendicular line.

y=1/2x+b

b is the y intercept, and since you want to make the line go through (8,1) you have to change the 6 in the original equation.

To do this replace x and y with 8 and 1

1=1/2(8)+b

1=4+b

b=-3

So you plug that into the equation

y=1/2x-3

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,