Equation of a line in Slope-Intercept form


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Let LM be the given line with inclination q and intersecting the y-axis at C, so that OC = c.

Let tan q = m.

Let P (x, y) be any point on the line LM.

Draw PQ perpendicular to x-axis and CH perpendicular to PQ.

From the right-angled triangle PCN, we have

which is the required equation of line.


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