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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
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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.
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
what- use the slopes and y- intercept of the lines to determine the number of solutions to the system?
consistent dependent
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
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.
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.
What are the characreristics of two lines that coincide?
They have equal slopes, equal y-intercepts, equal x-intercepts,and if they are line segments, then they have equal lengths.
When two slopes are equal they are?
There are two possibilities. If the y intercepts are unique, the lines are parallel. If the y intercepts are the same, the lines are coincident. ( They are the same line)
