A straight line passes through the points and

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

Problem

A straight line passes through the points P(2,5)P(2,5) and Q(−3,−1)Q(-3,-1). Using only this information, answer the questions that follow. (i) Obtain the equation of the line in the form ax+by+c=0ax + by + c = 0. (ii) Find its x-intercept and y-intercept. (iii) Determine the area of the triangle enclosed by the line and the coordinate axes. (iv) Compute the distance between the two intercept points on the axes.

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