Question

a line is drawn through point (1,2) forming a right triangle with the positive x- and y-axes. The slope of the line forming the triangle of least area is...

Answer 1

Find the general equation of line passing through (1,2). Then find the intercepts cut by it on x and y axis. you can find the area of the triangle using this. The slope of the area will be 0 where it is minimum. You can find that by differentiating the equation :)