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zimovet [89]
3 years ago
8

Write equations for three lines that intersect to form a triangle

Mathematics
1 answer:
sveta [45]3 years ago
7 0
1.
Any 3 lines a, b and c intersect and form triangles, in no 2 of them are parallel.


2.

2 lines are parallel only if their slopes are equal.


3.

if the equation of a line l is given in the form y=mx+t, then m, the coefficient of x, is the slope of that line.


4.

so given lines a, b, c with equations: 

a: y=m_1x+t\\\\b: y=m_2x+u\\\\c: y=m_3x+v

if m_1 \neq m_2 \neq m_3, then the lines intersect, forming thus a triangle.


5.

let the 3 lines be:

a: y=2x+5\\\\b: y=-4x+13\\\\c: y=x+7
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