A straight line has slope and cuts the -axis at the point

MATHEMATICS · Subjective · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane

Problem

A straight line has slope

-\dfrac{3}{2}

and cuts the

y

-axis at the point

(0,4)

. (i) Write the equation of the line in slope–intercept form. (ii) Find the coordinates of the point where the line meets the horizontal line

y=7

. (iii) Determine the area of the triangle enclosed by the given line and the coordinate axes.