Question

What is the slope of a line that goes through the points (4,1) and (2,5)

Answer 1

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{5 - 1}{2 - 4} = \frac{4}{-2} = -2$


$y - y_1 = m(x - x_1)$
$y - 1 = -2(x - 4)$
$y - 1 = -2x + 8$
$y = -2x + 9$