How do you write an equation of a line passing through (1, -1), perpendicular to # y=3x+2#?
If a line is perpendicular to another this means its slope is the opposite reciprocal of the other function's slope. Opposite meaning the sign switches and reciprocal meaning one over the number. In this case the slope of this function is 3 and its opposite reciprocal is
We also know one point which must be on the line so we can plug this into the point-slope formula (