What is the slope of a line perpendicular to the line whose equation is x - y = 6. Fully simplify your answer.

Step-by-step explanation:

X+Y = 6

change into slope intercept form y=mx+b

y= -x +6

the number infront of X is the slope...so-1/1 would be your slope

Parallel lines have the same slope, so the answer is -1 or -1/1

y = -1 x

Step-by-step explanation:

perpendicular lines = opposite reciprocal slopes

opposite = like if one is negative, the other is not, vice versa

reciprocal = -1/2's reciprocal is -2, or 2/4's reciprocal is 4/2

x - y = 6

- y = 6 - x

y = -6 + x

y = x - 6

slope = 1

opposite reciprocal of 1 is -1.