What is the equation of the line that is perpendicular to the given line and passes though the point (3,0)? is the

 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.

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step-by-step explanation:

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