Question

What is the equation of the line that passes through the points (2,1) and (-4,6)

Answer 1

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 1}{-4 - 2} = \frac{5}{-6} = -\frac{5}{6} \\\\y - y_1 = m(x - x_1) \\y - 1 = -\frac{5}{6}(x - 2) \\y - 1 = -\frac{5}{6}(x) - \frac{5}{6}(-2) \\y - 1 = -\frac{5}{6}x - (-1\frac{2}{3}) \\y - 1 = -\frac{5}{6}x + 1\frac{2}{3} \\y = -\frac{5}{6}x + 2\frac{2}{3}$