What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3) ?

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the figure, the line goes through the following points:

We found the slope:

By definition, if two lines are perpendicular then the product of their slopes is -1:

Thus, the equation is of the form:

If the line goes through we have:

Finally, the equation is:

Algebraically manipulating we have:

Option A

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