Question

Find the equation of the line through point (-5,5) and perpendicular to y = 5/9x - 4

Answer 1

Answer:

$9x+5y=-20$

Step-by-step explanation:

$y = \frac{5}{9} x - 4$

compare with that y=mx+c

where m=slope .

So after comparing we get m=$\frac{5}{9}$

As the lines are perpendicular

$m1*m2=\ -1$

$m2 \ =\ \frac{-1}{m1}$

therefore m2=$\frac{-9}{5}$

Now from the equation

$y - b = m(x - a )$ this equation passing to the point (-5,5) with m=$\frac{-9}{5}$

$y-5=\frac{-9}{5} (x+5)\\5y-25=-9x\ -45\\9x+5y=-20$

Therefore equation is

$9x+5y=-20$