Two lines having the same y-intercept are perpendicular. If the equation of one of these lines is y = - (4/5) x + 6. what is the equation for the second line

Respuesta :

Given that, two lines having the same y-intercept are perpendicular. And the given equation is,

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

Here, slope is -4/5, and y intercept is 6.

The slope of the perpendicular line is the negative reciprocal.

Therefore the equation for the perpendicular line is,

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