Question

What is the slope of the line perpendicular to `y=-8/5x-2`?

Answer 1

`5/8`

Explanation:

the equation of a straight line , y = mx + c , where m represents the gradient (slope) and c , the y-intercept , is useful in that m and c may be extracted from it.

`y = -8/5 x - 2color(black)(" is in this form ")`

here then `m = -8/5`

If 2 lines are perpendicular , then the product of their gradients is - 1.
let gradient of perpendicular line be `m_1`

then `m_1 xx -8/5 = - 1 rArr m_1 =( -1)/-(8/5) = -1 xx -5/8 = 5/8`