Calculus meets Functions

Review question

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, $m$?