what is defination of intersecting lines?
Answers
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:
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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