Question

What is the equation of the line passing through (–6, 1) and perpendicular to the line y = –3x + 1 in slope-intercept form?

Answer 1

do you know the relationship between gradients of two perpendicular lines?

Answer 2

no

Answer 3

well, they have an inverse negative relationship, i.e if gradient of line 1 is m the gradient of the line perpendicular to it is \[-1/m\]

Answer 4

what is the answer

Answer 5

don't you want to know how to do it?

Answer 6

yes i'm saying.. the process

Answer 7

in your case the gradient is 1/3
so (y-1) / (x--6) = 1/3
3(y-1) = x+6
3y-3 = x+6
3y = x+6-3
y = 1/3x +3