Many geometric shapes can be created with intersecting lines. For example, a triangle is formed when three lines intersect at three distinct points called vertices. Find equations of lines that satisfy the characteristics described. Sketching a graph may be helpful.
Parallelogram A parallelogram has four sides, with opposite sides parallel. Three sides of a parallelogram are given by the equations y = 2x + 2, y = 2x − 1, and y = −x − 2.
(a) If the fourth side of the parallelogram passes through the point (−2, 3), find its equation.
(b) Graph all four lines. Is a parallelogram formed?
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