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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
Updated: 4/28/2022
inconsistent
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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.
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