(a) Sketch the line and the point P(1, 3). Follow parts (b)–(d) to calculate the perpendicular distance from point P(1, 3) to the line.
(b) Find an equation of the line that passes through P(1, 3) and is perpendicular to the line .
(c) Find the coordinates of the point where these two lines intersect. Hint: From intermediate algebra, to find where two lines y = mx + b and y = Mx + B intersect, set the expressions mx + b and Mx + B equal to each other, and solve for x.
(d) Use the distance formula to find the perpendicular distance from P(1, 3) to the line
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