Two lines having the same [tex]y[/tex]-intercept are perpendicular. If the equation of one of these lines is [tex]y=\frac{-4}{5x+6}[/tex], what is the equation of the second line?

Respuesta :

Answer:

Step-by-step explanation:

I suspect a typo, since [tex]\frac{-4}{5x+6}[/tex] is not a straight line. Let's go with

[tex]y = -\frac{4}{5} x + 6[/tex]

That means the slope is -4/5

Any line perpendicular to it will have slope 5/4

Since both lines pass through (0,6), our second line is

[tex]y=\frac{5}{4} x + 6[/tex]