Question

A line contains points (4,2) and (0,-1). Wha is the equation of the line

Answer 1

The equation to find the slope is
$m = \frac{y2 - y1}{x2 - x1} \\ m = \frac{ - 1 - 2}{0 - 4} \\ m = \frac{ - 3}{ - 4} \: or \: \frac{3}{4}$
now you have to use the point-slope formula
$y - y1 = m(x - x1) \\ y - ( - 1) = \frac{3}{4} (x - 0) \\ y + 1 = \frac{3}{4} x \\ y = \frac{3}{4} x - 1$
the equation of the line is
$y = \frac{3}{4} x - 1$