(i) State the general equation of a horizontal line and of a vertical line in the…

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

Problem

(i) State the general equation of a horizontal line and of a vertical line in the Cartesian plane. (i) State the general equation of a horizontal line (i.e., y=cy = c, where cc is a constant) and of a vertical line (i.e., x=kx = k, where kk is a constant) in the Cartesian plane. (ii) Explain why every horizontal line has slope equal to 00, while the slope of a vertical line cannot be assigned a finite numerical value. (iii) Sketch on the same set of axes the graphs of the lines y=3y = 3 and x=−2x = -2. Clearly label each line on your diagram.

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