Find the slope of a line perpendicular to the line whose equation is 6, x, plus, y, equals, 86x+y=8

To find the slope of a line perpendicular to another line, we need to find the negative reciprocal of the slope of the given line.

The given line's equation is 86x + y = 8.

To put it in slope-intercept form (y = mx + b), we need to isolate y:

y = -86x + 8.

The slope of the given line is -86.

The negative reciprocal of -86 is 1/86.

Therefore, the slope of a line perpendicular to the given line is 1/86.