Question

Line k passes through points (-3,-6) and (-1,12) what is the slope of the line perpendicular to line c

Answer 1

Do you mean "perpendicular to k"? We have no line c there so I'm going with line k. First we need the slope of line k. Fitting those values into the slope formula we have
`m= (12-(-6))/(-1-(-3)) = (18)/(2) =9`. So the slope of k is 9. The slope of a line perpendicular to k has the opposite sign and the fraction is flipped. The perpendicular slope then is -1/9.