The coordinates of 3 of the vertices of a parallelogram are (-3, 4), (-2, 1), and (2, 6). What is the equation for the line containing the side opposite the side containing the first two vertices? (Remember, opposite sides of a parallelogram are parallel.)

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Mathematics

Guest

25 March, 19:54

The coordinates of 3 of the vertices of a parallelogram are (-3, 4), (-2, 1), and (2, 6). What is the equation for the line containing the side opposite the side containing the first two vertices? (Remember, opposite sides of a parallelogram are parallel.)

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Answers (1)

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Eden Montgomery · Answer 1

Given:

(-3,4); (-2,1); and (2,6)

let us solve for the slope. parallel sides have the same slope.

m = y2-y1 / x2-x1

m = 1 - 4 / - 2 - (-3)

m = - 3 / 1

m = - 3

y = mx + b

(2,6)

6 = - 3 (2) + b

6 = - 6 + b

6 + 6 = b

12 = b

y = - 3x + 12 This is the equation.