Question

Which of the following equations represents a line perpendicular to 6x - 5y = 8?
Question 3 options:
-6x + 5y = 10
-5x + 6y = 8
6x + 5y = 1
5x + 6y = 12

Answer 1

y = 6x/5-8/5

The perpendicular line is going to have a slope that is the "negative inverse"

Therefore, m=-5x/6

Just by looking at your options, you have two avaliable options that could be possible answers the one with -5x, and the one with 5x.

I'll check the last one b/c I think that's the possible answer.

5x+6y = 12
6y = -5x +12
y=-5x/6 +12/6

y=-5x/6 +2

The last option DOES have a slope of m=-5/6. Doesn't matter what the y-intercept is. This line is perpendicular to the given line, so this is your answer.