Question

find the equation of a straight line whose slope is( 2/ 3)
and passing through (5, - 4)

Answer 1

Form the general equation of straight-line
$y = mx + c \\ m \: is \: slope \\ c \: is \: intercept \\ \: putting \: y \: and \: x \\ - 4 = 5 \times \frac{2}{3} + c \\ c = - 4 - \frac{ 10}{3} = \frac{ - 22}{3} \\ hence \: the \: general \: equation \: is \: \\ y = \frac{2x}{3} - \frac{22}{3}$