When two lines intersect how many solutions are there?

one solution
The two lines intersect, so they have only one point in common. That means there is only one solution to the system.

When two lines intersect each other then the solution is?

1 Expert Answer If the two lines intersect each other at _one_ point, then the point of intersection is the solution.; the lines are called “intersecting lines.” If the two lines do not intersect, they are called “parallel lines.” If the two lines are exactly the same, they are “co-linear.”

What solution is intersecting lines?

These “two” lines, really being the same line, “intersect” at every point along their length. This is called a “dependent” system, and the “solution” is the whole line….

What does it mean when 2 lines intersect?

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.

How many solutions do parallel lines have?

Since parallel lines never cross, then there can be no intersection; that is, for a system of equations that graphs as parallel lines, there can be no solution . This is called an “inconsistent” system of equations, and it has no solution.

How do you calculate the point of intersection?

Point of Intersection Formula. Point of intersection means the point at which two lines intersect. These two lines are represented by the equation a1x2 + b1x + c1= 0 and a2x2 + b2x + c2 = 0 respectively. Given figure illustrate the point of intersection of two lines. We can find the point of intersection of three or more lines also.

How do you graph point of intersection?

To find and store the points of intersection in an inequality graph, follow these steps: Press [ALPHA][ZOOM] or [ALPHA][TRACE] to select the Pol-Trace option. Press Use the arrow keys to move to the next point of intersection and, if you desire, press Press [CLEAR] when you are finished using Pol-Trace.

What is an intersection in geometry?

See guidance in Wikipedia:Summary style. In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces). The simplest case in Euclidean geometry is the intersection of two distinct lines, which either is one point or does not exist if the lines are parallel.