Question

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

Answer 1

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

$y=-\frac{4}{5}x+6$

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,

$y=\frac{5}{4}x+6$