Question

A line passes through points A(x_i, y₀ and B(h, k). If the slope of the line is m, then show that k – y₁ = m (h – x₁).

Answer 1

Given, A(x₁ , y₁ ), B(h, k) and slope of line AB = m 

Slope of line AB = \(\frac {y_2-y_1}{x_2-x_1}\)

∴ m = \(\frac {k-y_1}{h-x_1}\)

∴ k – y₁ = m (h – x₁)