Answer: The correct option is (D)
Step-by-step explanation: We are given to find the equation of a line that is perpendicular to the graphed line and passes through the point (3, 0).
From the graph, we note that
the graphed line passes through the points (2, -1) and (-3, 2).
The SLOPE of a straight line passing through the points (a, b) and (c, d) is given by
So, the slope of the graphed line is
We know that the product of the slopes of two perpendicular lines is -1. So, if m' is the slope of a line perpendicular to the graphed line, then
Since the line with slope m' passes through the point (3, 0), so its equation will be
Thus, the required equation of the perpendicular line is
Option (D) is CORRECT.