(a) Sketch the line y = 2 x − 5 and the point P(1, 3). Follow parts (b) – (d) to calculate...

(a) Sketch the line y = 2 x − 5 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 .