Distance of the Origin from a Line

What this figure shows. Diagram showing the line ax+by+c=0 meeting the axes at A and B, with the perpendicular of length p dropped from the origin, used in the area-based proof. This figure gives the reader a concrete visual reference for the geometric configuration described in the surrounding text, tying the abstract statement t …

Worked out. Finds the distance of the origin from the line 3x + 4y + 15 = 0 by direct substitution into the distance formula, obtaining 3. Working through this worked example after reading the theory above helps consolidate the method before attempting the exercise questions that follow it in the textbook …