The line l 1 has equation y = 3x 6. The line l 2 is perpendicular

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The line l1 has equation y = 3x − 6. The line l2 is perpendicular to l1 and passes through the point (6, 2).

a. Find an equation for l2 in the form y = mx + c, where m and c are constants  The lines l1 and l2 intersect at the point C.

b. Use algebra to find the coordinates of C. The lines l1 and l2 cross the x-axis at the points A and B respectively.

c. Calculate the exact area of triangle ABC.

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