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When two line equations have the same slope but different y-intercepts are they parallel?
yes they are parallel.
If is parallel to and the slope of is -5 what is the slope of?
The parallel lines will have the same slope of -5 but with different y intercepts
Can you determine whether a system of two linear equations has one solution an infinite number of solutions or no solution by simply?
Yes, you can determine the nature of a system of two linear equations by analyzing their slopes and intercepts. If the lines represented by the equations have different slopes, the system has one solution (they intersect at a single point). If the lines have the same slope but different intercepts, there is no solution (the lines are parallel). If the lines have the same slope and the same intercept, there are infinitely many solutions (the lines coincide).
Can a system of linear equations have no solution?
Yes, a system of linear equations can have no solution, which occurs when the equations are inconsistent. This typically happens when the lines represented by the equations are parallel, meaning they have the same slope but different y-intercepts. As a result, they never intersect, indicating that there are no values for the variables that satisfy all equations simultaneously.
What parts come together when you graph point slope equations?
coordinate planes, intercepts, #'s, ordered pairs..etc.
When two line equations have the same slope but different y-intercepts are they parallel?
yes they are parallel.
How do you write an equation that is parallel to a given line and passes through the given point?
Parallel straight line equations have the same slope but with different y intercepts
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.
The graph of a system of equations with the same slope and the same y intercepts will have no solution?
The statement - The graph of a system of equations with the same slope and the same y intercepts will have no solution is True
How do you write an equation for a line that passes through point and is parallel to the given line?
Both straight line equations will have the same slope or gradient but the y intercepts wll be different
Lines that have the same slope?
If they have the same slope but different y intercepts then they are parallel
If is parallel to and the slope of is -5 what is the slope of?
The parallel lines will have the same slope of -5 but with different y intercepts
Lines with the same slope are?
Lines with the same slope but with different y intercepts are parallel.
Can you determine whether a system of two linear equations has one solution an infinite number of solutions or no solution by simply?
Yes, you can determine the nature of a system of two linear equations by analyzing their slopes and intercepts. If the lines represented by the equations have different slopes, the system has one solution (they intersect at a single point). If the lines have the same slope but different intercepts, there is no solution (the lines are parallel). If the lines have the same slope and the same intercept, there are infinitely many solutions (the lines coincide).
What is the slope of a line that passes through the point (-5 3) and is parallel to a line that passes through (213) and (-4-11)?
If you mean: (2, 13) and (-4, -11) then the slope is 4 and both equations will have the same slope of 4 but with different y intercepts
What parts come together when you graph point slope equations?
coordinate planes, intercepts, #'s, ordered pairs..etc.
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.
