Find a general form of an equation of the line through the p

Find a general form of an equation of the line through the point A that satisfied the given condition A (1, -2) through B (-1, 4)

Solution

Equation of a line passing through two given points is given by:

(y - y1) = m*(x - x1)

m = (y2 - y1)/(x2 - x1)

using given points

m = (4 - (-2))/(-1 - 1)

m = -3

equation of line will be:

(y - (-2)) = (-3)*(x - 1)

y + 2 = -3x + 3

y = -3x + 1