Question

What is the equation of the line perpendicular to the line y=4/9x-2 that passes through the point(4,3)?
Answers are y=-4/9x-2
y=-9/4x+6
Y=-9/4x+12
Y=-9/4x-12
Thanks

Answer 1

the slope will be the inverse of the slope they give you. the inverse of 4/9 is -9/4
plug everything into this:
y-y1=m(x-x1)
so y-3=-9/4(x-4), then put it in y=mx+b form
y-3=-9/4x+36/4; 36/4=9
y=-9/4x+12

Answer 2

y1 and x1 is the point that they gave you.