A is the point (1, 5). Let (x, y) be any point on the line y =

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A is the point (−1, 5). Let (x, y) be any point on the line y = 3x.

a. Write an equation in terms of x for the distance between (x, y) and A(−1, 5).

b. Find the coordinates of the two points, B and C, on the line y = 3x which are a distance of √74 from (−1, 5).

c. Find the equation of the line l1 that is perpendicular to y = 3x and goes through the point (−1, 5).

d. Find the coordinates of the point of intersection between l1 and y = 3x.

e. Find the area of triangle ABC.

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