Which equation below would be perpendicular to line y+4x=8

y = 1/4 (x) + 8 or y - 1/4 (x) = b, with b's value not mattering.

Step-by-step explanation:

First, convert it to a y = mx + b format. This isn't 100% necessary, just something I prefer to do.

y + 4x = 8

y = - 4x + 8

Now switch the numerator and denominator of the 'm', then multiply it by - 1.

y = 1/4 (x) + 8

The 'b' here can be any value and still be the right answer, as slope determines whether it's perpendicular or not, not where on the y axis the line is. You may need to convert it back to the original format by subtracting the 1/4 (x) and moving it to the other side, like so:

y - 1/4 (x) = b

The answer is Y - 1/4 (x) = b