Which equation represents a line which is perpendicular to the line y
=
1
6
x
−
1
y=
6
1

x−1?

Please help

A. 6x + y = 1

any line perpendicular to a given line will have the negative reciprocal of the given line’s slope. the given lines slope (in this case) is 1/6. the negative reciprocal of that would be -6.

so we know the equation of the line is going to be y = -6x + b (we don’t know the y intercept yet)

the answers are put into standard form. to change our equation to standard form, add 6x to each side

6x + y = b

now we just find an equation that matches that

6x + y = 1 is a matching equation and is the equation of the line perpendicular to the given one.