Hi. If the equation for line j is x + y = 1, then bringing x to the other side of the equation makes y= -x +1. If the slope of line j is perpendicular to the slope of line k, then it is the negative reciprocal of it. That means the slope of line k is 1. Now we have to find the y-intercept. Using the slope intercept formula, with the given point (-8,2), we have 2 = 1(-8) + b, or 2 = -8 + b, so b = 10. Therefore, the equation of line k is y= x + 10.
