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They have the same slope. If you write the lines in the slope-intercept form, you will get, for each line:
y = ax + b
where a is the slope, and b is the y-intercept (where the line crosses the y-axis). For two or more parallel lines, the coefficient "a" will be the same.
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What is the relationship between the slopes of two parallel lines?
Parallel lines have the same slope.
What system of equations has no solution?
A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.
What types of lines would be the result of an inconsistent system of equation?
If you refer to linear equations, graphed as straight lines, two inconsistent equations would result in two parallel lines.
What is the relationship of the slopes of parallel lines?
They are the same.
The two lines graphed below are parallel How many solutions are there to the system of equations?
Although there is no graph, the number of solutions is 0.
Can you describe the relationship between the equations of two parallel lines?
Their slopes are equal; y-intercept can be anything.
What is the relationship between the slopes of two parallel lines?
Parallel lines have the same slope.
How do you solve parallel equations?
Parallel lines never meet and so parallel equations do not have any simultaneous solution.
Does a square only have one side of parallel lines?
One side cannot be parallel because parallel is a relationship between two lines (or sides). A square has two pairs of parallel lines.
Will equations of three parallel lines have value?
Yes. But for what?
What system of equations has no solution?
A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.
How can we tell if two lines are parallel perpendicular or neither just from their equations?
If the slope of the equations are the same then they are parallel If the slope of the equations are minus reciprocal then they are perpendicular If the slope of the equations are different then they are neither
What is true about a system of two linear equations that has no solution?
The two equations represent parallel lines.
How do parallel and perpendicular slopes compare or their y intercept?
There is no relationship between the slopes of parallel or perpendicular lines and their y-intercepts.
By looking at two linear equations how can you tell that the corresponding lines are parallel?
By looking st two linear equations you can tell that the corresponding lines are parallel when the slope is the same. The slope controls where the line is.
A system of equations of two or more parallel lines is called a what?
Inconsistent
What types of lines would be the result of an inconsistent system of equation?
If you refer to linear equations, graphed as straight lines, two inconsistent equations would result in two parallel lines.
