How do i solve it?

Question

Write the equation of a line perpendicular to the line: y=-5/2x+4 that goes through the points (-6,0)

Answer 1

First, find the slope of the tangent line that goes through (-6, 0)

This is the slope of the tangent at x= -6 or f '(6)

Once you get f '(6), take the negated reciprocal of that.

That will give you the slope of the perpendicular line.

You have a slope of the perpendicular line and a point that lies on it.

So to get the equation use the point-slope form of a line