Answer
$y-210,000=12,000(x-7)$
Work Step by Step
We know that if the slope of two lines are opposite reciprocals, they are perpendicular. Thus, we find the opposite reciprocal of the given line and plug in the given point into the point-slope equation for a line, which is:
$$y_2-y_1=m(x_2-x_1)$$
We first find the slope:
$$\frac{y_2-y_1}{x_2-x_1}$$
We use the given information as points to have:
$$\frac{270,000-210,000}{12-7}$$
$$m =12,000$$
We then obtain:
$$y-210,000=12,000(x-7)$$
