Question

What is the equation of the line perpendicular to the line y=4/9x-2 that passes through the point?that is the question
Answers are
Y=-4/9x-2
Y=9/4x+6
Y=-9/4x+12
Y=-9/4x-12
Thanks

Answer 1

Perpendicular lines have the negative inverse slope.
Meaning if the slope is:
\[ \frac{a}{b} \]
the negative inverse is:
\[ -\frac{b}{a} \]

Answer 2

to find the final equation you need to plug in the point.
You haven't given what the point is?