Question

what is defination of intersecting lines?
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Answer 1

Answer:

In Euclidean geometry, the intersection of a line and a line can be the empty set, a point, or a line. Distinguishing these cases and finding the intersection point have use, for example, in computer graphics, motion planning, and collision detection.

Answer 2

Answer:

When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection. Here, lines P and Q intersect at point O, which is the point of intersection.

Step-by-step explanation:

So for example, if we have two lines that have the following equations (in slope-intercept form):

y = 3x-3

y = 2.3x+4

At the point of intersection they will both have the same y-coordinate value, so we set the equations equal to each other:

3x-3 = 2.3x+4

This gives us an equation in one unknown (x) which we can solve: Re-arrange to get x terms on left

3x - 2.3x = 4+3

Combining like terms

0.7x = 7

Giving

x = 10

To find y, simply set x equal to 10 in the equation of either line and solve for y: Equation for a line (Either line will do)

y = 3x - 3

Set x equal to 10

y = 30 - 3

Giving

y = 27

We now have both x and y, so the intersection point is (10, 27)

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