Question
What is the point of intersection of the line with the coordinate axes?
- x -axis
- y - axis
- Intercept
- Origin
Hint:
The number that makes every equation in a system of linear equations true is the system's solution. The answers to the two variables in the two equations will be these points' coordinates.
In this question, we have asked the point of intersection of the line with the coordinate axes.
The correct answer is: Origin
The value or values that hold true for each equation in the system constitute the solution to the system of equations. How many solutions there are for a system can be determined from the graphs of its equations.
If the point of intersection is the only location where the two graphs meet when the lines cross, the coordinates of that location provide the answer to the equations involving the two variables.
There are no solutions when the lines are parallel. There are always infinitely many solutions when the two equations graph as the same line.
When the lines are coinciding with each other then there is infinite number of solutions.
Origin is the coordinate axis' place of intersection (0,0). The horizontal and vertical axes are the two axes of the coordinate plane.
The origin is defined as the point of intersection (0, 0). The x-coordinate is always listed first and the y-coordinate is always listed second in an ordered pair. The intersection of the x and y axes is at zero on both axes. A point in quadrant I, has a positive x and y coordinate value since the x and y axes both meet at zero, for instance (1,1).
So here in this question we were asked about the point of intersection of coordinate axis. We used the concept of coordinate system and found out that its origin (0,0). The coordinate system is compared to a grid-based map. Two axes that are parallel to one another are what make up its lines.
Related Questions to study
How many solutions does the system of linear equations have?
y = -2x + 4 and 7y = -14x + 28
So here we have given two equations, y = -2x + 4 and 7y = -14x + 28 and we had to find out how many solutions it have. Using the concept we found out that the system is having intersecting lines and hence it has an infinite number of solution.
How many solutions does the system of linear equations have?
y = -2x + 4 and 7y = -14x + 28
So here we have given two equations, y = -2x + 4 and 7y = -14x + 28 and we had to find out how many solutions it have. Using the concept we found out that the system is having intersecting lines and hence it has an infinite number of solution.
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y = -6x + 8 and y = -3x – 4
So here we have given two equations, y = -6x + 8 and y = -3x – 4 and we had to find out how many solutions it have. Using the concept we found out that the system is having intersecting lines and hence it has 1 solution.
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y = -6x + 8 and y = -3x – 4
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So here we have given two equations, x + y = -2 and 3x + 3y = -6 and we had to find out how many solutions it have. Using the concept we found out that the system is having coinciding lines and hence it has an infinite number of solutions.
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y = x + 4 and y = –x + 6
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How many solutions do the following equations have?
y = x + 4 and y = –x + 6
So here we have given two equations, y = x + 4 and y = –x + 6 and we had to find out how many solutions it have. Using the concept we found out that the system is having intersecting lines and hence it has 1 solution.
How many solutions do equations have when they overlap with each other?
So here we were asked how many solutions the equations have when they are coinciding, so we used the concept of linear equations and understood with an example that when two lines are coinciding with each other, there are infinite number of solutions.
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So here we were asked how many solutions the equations have when they are coinciding, so we used the concept of linear equations and understood with an example that when two lines are coinciding with each other, there are infinite number of solutions.
How many solutions that the equations have when they are parallel?
So here we were asked how many solutions that the equations have when they are parallel, so we used the concept of linear equations and understood with an example that when two lines are parallel, there is no solution.
How many solutions that the equations have when they are parallel?
So here we were asked how many solutions that the equations have when they are parallel, so we used the concept of linear equations and understood with an example that when two lines are parallel, there is no solution.
How many solutions that the equations have when they intersect at a point?
So here we were asked how many solutions that the equations have when they intersect at a point, so we used the concept of linear equations and understood that when two lines intersect at a point, there is only one solution.
How many solutions that the equations have when they intersect at a point?
So here we were asked how many solutions that the equations have when they intersect at a point, so we used the concept of linear equations and understood that when two lines intersect at a point, there is only one solution.
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