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| 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. |
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| Let tan q = m. |
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| Let P (x, y) be any point on the line LM. |
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| Draw PQ perpendicular to x-axis and CH perpendicular to PQ. |
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| From the right-angled triangle PCN, we have |
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| which is the required equation of line. |
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