A line cuts the –axis at the point and makes an angle of with the positive direction…

MATHEMATICS · Multi-part · CBSE · Mathematics · Straight Lines · Straight Lines

Problem

A line cuts the yy–axis at the point (0,4)(0,4) and makes an angle of 135∘135^{\circ} with the positive direction of the xx–axis. (i) Determine the slope of the line. (ii) Hence, write the equation of the line in general form. (iii) Calculate the point where the line intersects the xx–axis.

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