which line passes through the origin and is inclined to x-axis by 45 degree
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45° right triangle is isosceles: its legs have equal length (it is half of a square). Therefore, if a line intersects the x-axis at 45° and the line goes upward to the right, its slope is 1 (because the ratio of the equal legs is 1 to 1). Similarly, if the line intersects the x-axis at 45° and goes upward to the left its slope will be -1.
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