Answer
$7x+11y -51=0$ is the equation of the line passing through these points in question.
Work Step by Step
We can set up a slope ratio between the two points as follows:
$\frac{y_{2} -y_{1}}{x_{2} -x_{1}} = slope = \frac{y-y_1}{x-x_1}$
(this is the point-slope form of a line, slightly rewritten.)
Plugging in the given values, we get:
$\frac{y-4}{x-1} = \frac{-3-4}{12-1}=\frac{-7}{11}$
We cross multiply and simplify:
$11y -44 = -7x +7$
which gives
$7x+11y -51=0$
