Find the point of intersection?

In summary, to find the point of intersection of two lines, the first step is to form two equations. From there, you can solve for the variable(s) and then use the solution(s) to find the coordinates of the point of intersection.
  • #1
Math100
756
205

Homework Statement


Find the point of intersection of the following lines, if it exists.

Homework Equations


None.

The Attempt at a Solution


I think the first step is to form 2 equations, but I'm not too sure.
 

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  • #2
Math100 said:

Homework Statement


Find the point of intersection of the following lines, if it exists.

Homework Equations


None.

The Attempt at a Solution


I think the first step is to form 2 equations, but I'm not too sure.

Go ahead and do it; see what you get. (PF rules require an effort from you.)
 
  • #3
2-s=-2+t
3+2s=-4+t
----------------
1+3s=-2
s=-1
From here, what do I do to find the point of intersection?
 
  • #4
Never mind, I got it.
 

Related to Find the point of intersection?

1. What is the point of intersection?

The point of intersection is the point at which two or more lines, curves, or surfaces meet.

2. How do you find the point of intersection?

The point of intersection can be found by solving the equations of the lines or curves algebraically, or by graphing the equations and finding the point where they intersect on the graph.

3. What does the point of intersection represent?

The point of intersection represents the solution or common solution to the equations of the lines or curves. It is the value of the variables that make both equations true simultaneously.

4. Can there be more than one point of intersection?

Yes, depending on the number of equations and variables, there can be multiple points of intersection. For example, two lines can intersect at one point, while two parabolas can intersect at two points.

5. How is the point of intersection used in real-world applications?

The point of intersection is used in various fields of science, such as engineering, physics, and economics, to solve problems and make predictions. It can also be used to find the optimal solution in optimization problems.

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