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Question
A line passes through points A(x1, y1) and B(h, k). If the slope of the line is m then show that k − y1 = m(h − x1)
Solution
Given, A(x1, y1), B(h, k) and
slope of line AB = m
Slope of line AB = `(y_2 - y_1)/(x_2 - x_1)`
∴ m = `("k" - y_1)/("h" - x_1)`
∴ (k − y1) = m(h − x1)
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