Question

Which of the following equations represents a line perpendicular to -6x + 7y = -1 ?

Question 5 options:

-6x - 35y = -1


-35x - 30y = -1


30x + 35y = -1


7x - 6y = -1

Answer 1

First change the equation to y= form
-6x+7y=-1
7y=6x-1
y=(6/7)x-(1/7)

slope is 6/7
a line perpendicular to this has a slope that is the negative reciprocal of this
so the slope will be -7/6
and if you change all of the choices to y= form, you'll find that -35x+30y=-1 has a slope of -7/6