Mathematics

Mathematics

Problem

Draw the graphs of y=xy = x and y=−xy = -x in the same graph. Also, find the coordinates of the point where the two lines intersect.
Intuitive explanation

These two lines are reflections of each other across the yy-axis, with opposite slopes: one climbs left-to-right while the other falls. The key insight is that at their intersection point, both equations must be satisfied simultaneously—so set them equal and solve for xx, then substitute back to find yy. This single point is where the two lines cross.

Intuitive explanation

These two lines are reflections of each other across the yy-axis, with opposite slopes: one climbs left-to-right while the other falls. The key insight is that at their intersection point, both equations must be satisfied simultaneously—so set them equal and solve for xx, then substitute back to find yy. This single point is where the two lines cross.

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