Suggestion

Write down the equation of the line of gradient \(m\) through the point \((1, 2)\). Find, in terms of \(m\), the intercepts which this line makes on the two axes.

A line is drawn through the point \((1, 2)\) to form with the axes a triangle in the first quadrant. Find the least possible area of the triangle.

Can you express the area of the triangle as a function of the gradient, \(m\)?

How can we find the minimum value of a function?