QUESTION IMAGE
Question
the point where two lines meet or cross is called the ______. when the lines are parallel and never meet, the system of equations has ____ solution(s). if two equations represent the same line, the system of equations has ____ many solutions. the visual representation of equations on a coordinate plane is called a ____. the point of intersection represents the ______ to the system of equations. lines that have the same slope but different y - intercepts are...
First Question:
In geometry (a subfield of Mathematics), the point where two lines meet or cross is defined as the intersection point.
For a system of linear equations, if the lines are parallel (same slope, different y - intercepts), they never intersect. So, there are no solutions because a solution to a system of linear equations in two variables is the point of intersection of the two lines.
When two equations represent the same line, every point on that line is a solution. So, the system has infinitely many solutions.
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intersection point