MATHEMATICS · Subjective · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane
Problem
A line is represented by the equation 0.2x+0.3y=6.
(a) Multiply both sides by a suitable number to remove decimals and write the equation in simplest integral form.
(b) Find the points where the line meets the coordinate axes and mark them on graph paper.
(c) Plot one additional point that lies on the line to confirm its position, then draw the complete graph.
(d) Using your results from part (b), calculate the exact area of the triangle enclosed by the line and the coordinate axes.