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Intersection of lines. Suppose that lines and in the plane are given by their equations. How can we find the coordinates of their intersection point? - раздел Образование, Ne ...
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Since the intersection point М belongs to the first line, if follows that its coordinates y
М
0 x
satisfy the equation of this line. On the other hand, the point М belongs to the second line, and its coordinates satisfy the second equation .
Thus, the coordinates of the intersection point satisfy both equations simultaneously:
To find the coordinates of the intersectionpoint of two lines, we must solve the system of equations.
Example. Find the intersection points of the line with the coordinates axes:
у
0 х
To find the intersection point of the line with the x–axis, we solve the system of equations
which implies F1(x)=0.
Similarly the intersection points of the line and the y–axis are found from
i.e., F1(y)=0.
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Эта тема принадлежит разделу:
The distance between two points Let us find the distance between two points М and М in the plane... Example Find the distance between the two points А and... Using the above formula we obtain...
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