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The general equation for a line is y=ax+b, right? If two lines are to never coincide, they have to be parallelle, stretching both ways to infinity wihtout meeting.
So if you put both your equations on the general form, getting this:
y1=ax+b
y2=cx+d
The only way these lines are parallelle is if a=c. So whenever a differs from c, your line will coincide at some point. (to find this point, set y1 = y2 and solve the equation for x, giving you the x-value for their point of coincision).
What else can I help you with?
What do you know about the equations when two lines intercept on a graph?
When two lines intersect on a graph, their equations represent systems of linear equations. At the point of intersection, the coordinates satisfy both equations simultaneously, meaning that the x and y values are the same for both lines. Mathematically, this is often found by setting the two equations equal to each other and solving for the variable, which gives the intersection point. If the lines are parallel, they do not intersect, while if they are coincident, they intersect at infinitely many points.
How do you know if two lines are intersecting lines with out graphing?
For two dimensional lines: Get the formulas for the two lines into a format so that you can evaluate the slope. If the slopes are different, then they will intersect. If the slopes are the same, then you have two parallel lines, or possibly, the two equations describe the same line.
How do you know if a system of linear equations has one solution infinitely many solutions or no solutions?
To determine the number of solutions for a system of linear equations, you can analyze the equations graphically or algebraically. If the lines represented by the equations intersect at a single point, there is one solution. If the lines are parallel and never intersect, there are no solutions. If the lines are coincident (overlap completely), there are infinitely many solutions. Algebraically, this can be assessed using methods like substitution, elimination, or examining the rank of the coefficient matrix relative to the augmented matrix.
How do you find the intersection of 2 lines in space?
By solving simultaneous linear equations. (If you don't know how to do this, it's a bit more complicated than can be detailed here, but basically you cast the equations for the two lines into the form ax + by = z and then see if there are any valid solutions to the equation a1x + b1y = a2x + b2y. If so, that's your answer. If not, the lines are skew and do not intersect.)
Is x perpendicular?
To determine if two lines represented by the variable ( x ) are perpendicular, we need to know their slopes. Lines are perpendicular if the product of their slopes equals -1. If you have specific coordinates or equations in mind, please provide them for a clear answer.
What do you know about the equations when two lines intercept on a graph?
When two lines intersect on a graph, their equations represent systems of linear equations. At the point of intersection, the coordinates satisfy both equations simultaneously, meaning that the x and y values are the same for both lines. Mathematically, this is often found by setting the two equations equal to each other and solving for the variable, which gives the intersection point. If the lines are parallel, they do not intersect, while if they are coincident, they intersect at infinitely many points.
How do you know if two lines are intersecting lines with out graphing?
For two dimensional lines: Get the formulas for the two lines into a format so that you can evaluate the slope. If the slopes are different, then they will intersect. If the slopes are the same, then you have two parallel lines, or possibly, the two equations describe the same line.
How do you know if a system of linear equations has one solution infinitely many solutions or no solutions?
To determine the number of solutions for a system of linear equations, you can analyze the equations graphically or algebraically. If the lines represented by the equations intersect at a single point, there is one solution. If the lines are parallel and never intersect, there are no solutions. If the lines are coincident (overlap completely), there are infinitely many solutions. Algebraically, this can be assessed using methods like substitution, elimination, or examining the rank of the coefficient matrix relative to the augmented matrix.
How do you find the intersection of 2 lines in space?
By solving simultaneous linear equations. (If you don't know how to do this, it's a bit more complicated than can be detailed here, but basically you cast the equations for the two lines into the form ax + by = z and then see if there are any valid solutions to the equation a1x + b1y = a2x + b2y. If so, that's your answer. If not, the lines are skew and do not intersect.)
Is linear algebra and linear equations the same?
Linear Algebra is a branch of mathematics that enables you to solve many linear equations at the same time. For example, if you had 15 lines (linear equations) and wanted to know if there was a point where they all intersected, you would use Linear Algebra to solve that question. Linear Algebra uses matrices to solve these large systems of equations.
Is x perpendicular?
To determine if two lines represented by the variable ( x ) are perpendicular, we need to know their slopes. Lines are perpendicular if the product of their slopes equals -1. If you have specific coordinates or equations in mind, please provide them for a clear answer.
Where do you use formulating equations in life?
well, if you know all the formulating equations it will make you better at regular equations and regular equations can be used in everyday life
How do you know if a point is a solution to a system of equations?
The coordinates of the point satisfy each of the equations.
How do you do linear equations?
To solve linear equations, you always use the inverse operations
Does lines AB and BD intersect?
To determine if lines AB and BD intersect, we need to know their equations or coordinates. If the lines are represented in a geometric context, such as a coordinate plane, we can check if their slopes are different or if they share a common point. If they do intersect, they will meet at one point; if they are parallel, they will not intersect. Please provide more details for a specific answer.
How do you solve linear equations?
I DON'T KNOW...... TEACH ME!!?!?!?!?!?!
How do quadratic inequalities differ from quadratic equations?
I dont know the answer
