Problem

Many geometric shapes can be created with intersecting lines. For example, a triangle is f...

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.

Triangle A triangle has vertices (0, 0), (2, 3), and (3, 6).

(a) Find slope–intercept forms for three lines that pass through each pair of points.


(b) Graph the three lines. Is a triangle formed by the line segments connecting the three points?

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