What slope would be needed to make a perpendicular line to x + y = 12 ?

2x+4y=12

Step-by-step explanation:

The slope of the line perpendicular to the line

2x+4y=12 is 2.

Explanation:

2x+4y=12

⇒ y=12−2x4

⇒ y=3−x2

⇒ y=−x2+3

This is in the form of y=mx+b  where m is the slope.

There the slope of the above line is −12.

Since, the slope of line perpendicular to a given line is the negative reciprocal of it.