Question

(-4,6), (9,-7)

Answer 1

Answer on Question #84871 – Math – Geometry

Question

Find the equation of a straight line passing through two given points $(-4,6), (9,-7)$

Solution

$$\frac{x - x_1}{x_2 - x_1} = \frac{y - y_1}{y_2 - y_1}$$ $$\frac{x + 4}{9 + 4} = \frac{y - 6}{-7 - 6}$$ $$-13(x + 4) = 13(y - 6)$$ $$y = 2 - x$$

Answer: $y = 2 - x$.

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