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what- use the slopes and y- intercepts of he lines to determine the number of solutions to the system?
which of these describes the type of system above
inconsistent
What else can I help you with?
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.
How many solutions are there when two lines have different slopes and y-intercepts?
If they are straight lines, then one solution.
Imagine that you are given two linear equations in slope-intercept form. You notice that the slopes are different but the y-intercepts are the same. How many solutions would you expect for this system?
infinintly many. for apex.
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 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.
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.
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).
How can you determine if two lines will intersect using the slope?
To determine if two lines will intersect using their slopes, compare the slopes of the two lines. If the slopes are different, the lines will intersect at one point. If the slopes are the same and the y-intercepts are different, the lines are parallel and will not intersect. If both the slopes and y-intercepts are the same, the lines are coincident and overlap entirely.
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.
How many solutions are there when two lines have different slopes and y-intercepts?
If they are straight lines, then one solution.
How can you use the slopes and y-intercepts to determine if two lines are parallel?
If the lines are straight and have the same slope they are parallel, no matter what the y intercept is
How many unique pairs of parallel lines can be drawn on a plane?
An infinite number, because there are an infinite number of slopes with an infinite number of y-intercepts.
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
what- use the slopes and y- intercept of the lines to determine the number of solutions to the system?
consistent dependent
If two lines have different slopes and different y intercepts how many points of intersection are there?
If two lines have different slopes, then they intersect at exactly one point. It makes no difference what their y-intercepts are.
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.
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.
