Question

Write the equation (use any form you choose) of the line that passes through the points (4, 3) and (-2, 6)

Answer 1

Gradient
$m = \frac{y - y}{x - x} \\ m = \frac{6 - 3}{ - 2 - 4} \\ m = \frac{ - 1}{2}$
$equation \\ y = mx + c \\ 3 = \frac{ - 1}{2} \times(4) + c \\ 3 = - 2 + c \\ c =5$


THE ANSWER IS :-
$y = mx + c \\ y = - \frac{1}{2} x + 5$