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graphing method is when you graph two lines and then find the intersection which is the answer of the system of equations
Plotting points. Graphing lines, line segments, rays, etc.
lines on a notebook, grids on graphing paper, and the hands of a clock
They are alike in that you graph the lines in the same way, but they are different because you have to shade in one side of the line
Intersecting lines are two lines that cross in a coordinate plane. So, yes, intersecting lines cross.