Question

2. In the xy-plane above, ABCD is a square and point E is the center of the square. The coordinates of points C and E are (7,2) and (1,0), respectively. Write an equation of the line that passes through points A, E, and C. B 1 2 -С E X -6 2 4. 16 A -2

Answer 1

Ready

Points A = (-5, -2) C = (7, 2) E = (1, 0)

1.- Find the slope

m = (y2 - y1) / (x2 - x1)

m = (2 + 2) / (7 + 5)

m = 4/ 12

m = 1/3

2.- Find the equation of the line

y - y1 = m(x - x1)

y + 2 = 1/3(x + 5)

y + 2 = 1/3x + 5/3

y = 1/3x + 5/3 - 2

y = 1/3 x + 5/3 - 6/3

This is the equation:

y = 1/3 x - 1/3

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