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What else can I help you with?
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.
Why the slopes are different for each swimmer?
Because they are all moving at different speeds.
What direction does slope faces?
Slopes can go all different ways. It all depends on the size of the slope.
What is the four different types of slopes?
positive slope negative slope undefined slope zero slope
What is the relationship between unit rates slopes and constant rate of change?
Unit rate, slope, and rate of change are different names for the same thing. Unit rates and slopes (if they are constant) are the same thing as a constant rate of change.
How do you use the slopes and y-intercepts to determine if two lines coincide or are parallel?
If the slopes are different the lines are neither - they intersect. They are parallel or coincident if the slopes are the same. Then, if the y-intercepts are the same they are coincident while if the y-intercepts are different, they are parallel.
Two lines are parallel if and only if their slopes are?
When their slopes are of the same value and their y intercepts are different
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.
What is the different kinds of linear system according to slope?
The question makes little general sense because the concept of slopes is appropriate when dealing with equations in only two variables.Assuming, therefore, that there are only two variables, then either the slopes are the same or they are different,If the slopes are the same and the intercepts are the same: there are infinitely many solutionsIf the slopes are the same and the intercepts are different: there are no solutionsIf the slopes are different: there is a unique solution.
Can systems of equations with the same slopes and different y-intercepts have no solution?
It is a correct statement.
How do you find the point two lines intercept at given the slopes and Y-intercepts of both lines?
Solve the two equations simultaneously. The solution will be the coordinates of the point of intersection.
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.
How many solutions are there when two lines have different slopes and y-intercepts?
If they are straight lines, then one solution.
Which properties best describe the coordinate graph of two distinct parallel lines?
Same slopes and different intercepts
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.
What represents the correct relationship between the slopes of parallel lines?
The slopes of parallel lines remain equal distance apart and when plotted on the Cartesian plane they have the same slope but with different y intercepts.
What is y equals -x using intercepts?
y = -xBoth intercepts are at the origin. From there, the line slopes up to the leftand down to the right.
