1.

The perpendicular from the origin to a line meets it at the point (-2, 9), find the equation of the line.

Answer»

Slope of the line through the origin and (-2, 9)

\(\frac{y_2 - y_1}{x_2 - x_1} = \frac{9-0}{-2-0} = -\frac{9}{2}\)

Then the slope of the required line is \(\frac{2}{9}\).

Hence the equation is y – y1 = m(x – x1)

⇒ y – 9 = \(\frac{2}{9}(x - (-2))\)

⇒ 9y – 81 = 2x + 4 ⇒ 2x – 9x + 85 = 0.



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