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How do you identify two linear equations that are parallel using slopes of two lines?
Wiki User
∙ 9y ago
Two linear equations that are parallel with have the sameslope, or the m value in y = mx + b will be the same.
For example, y = 3x + 5 is parallel to y = 3x - 6
Wiki User
∙ 9y ago
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What is the relationship of the slopes of parallel lines?
They are the same.
Does every pair of linear simultaneous equations have a solution?
Actually not. Two linear equations have either one solution, no solution, or many solutions, all depends on the slope of the equations and their intercepts. If the two lines have different slopes, then there will be only one solution. If they have the same slope and the same intercept, then these two lines are dependent and there will be many solutions (infinite solutions). When the lines have the same slope but they have different intercept, then there will be no point of intersection and hence, they do not have a solution.
What is the relationship between the slopes of two parallel lines?
Parallel lines have the same slope.
Do Perpendicular lines have opposite reciprocal slopes?
Actually it IS. perpendicular lines have opposite reciprocal slopes and parallel lines have the same slope.
What is true about the slope of parallel lines?
The slopes will be the same. It is also possible that both parallel lines have no slope defined - if they are vertical.
If two linear equations are in standard form how can you tell that the graphs are parellel?
If the slopes are the same on both graphs, they are parallel, and will never touch.
A system of two linear equations has exactly one solution if?
The slopes (gradients) of the two equations are different.
Determine whether the graphs of the equations are parallelperpendicular or neither?
Base on the slope of two linear equations (form: y = mx+b, where slope is m): - If slopes are equal, the 2 graphs are parallel - If the product of two slopes equals to -1, the 2 graphs are perpendicular. If none of the above, then the 2 graphs are neither parallel nor perpendicular.
When equations of linear systems have different slopes how many solutions does it have?
One solution
How wold you classify two linear equations have the same y-intercept and different slopes?
Two linear equations (or lines) with the same y-intercept and different slopes are intersecting lines. They intersect at the y-intercept. If the slopes are negative reciprocals (ex: one slope is 3 and one slope it -1/3) then they are perpendicular lines.
Can you describe the relationship between the equations of two parallel lines?
Their slopes are equal; y-intercept can be anything.
How do you know if two equations are parrallel?
If the slopes of a straight line equation are the same but with different y intercepts then they are parallel.
Do equations with different slopes and different y-intercepts have a solution?
TWO linear equations with different slopes intersect in one point, regardlessof their y-intercepts. That point is the solution of the pair.However, this does not mean that three (or more) equations in two variables, even if they meet the above conditions, have a solution.
What is the slope of a line parallel to 4x plus 2y equals 5?
Y = -2x + 5 so the slope of this equation, along with the slopes of parallel equations, is -2
How are the slopes of parallel lines related?
The slopes of two parallel lines will be the same.
What kinds of slopes do parallel lines have?
The slopes of parallel lines are by definition equal.
Systems of equations with different slopes and different y-intercepts have no solutions?
No the only time that a system of equations would have no solutions is when the two equations have the same slope but different y-intercepts which would mean that they are parallel lines. However, if they have different slopes and different y-intercepts than the solution would be where the two lines intersect.
