Step 1: Find the slope of the line 4x + y = 8.

In y = mx + b form, we have y = -4x + 8.

The slope is -4.

To be perpendicular to a line, the slope must be a negative reciprocal of the line it intersects with.

Reciprocal of -4 = -1/4

Negative of this = -1(-1/4) = 1/4

Using our slope calculator, we get

**y = 1/4x + 2**