Find the coordinates of intersection of two lines

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VENKATESAN SEETHARAMAN
回答： Image Analyst 2015-12-27
I have two lines in the form y1 = 1 + tand(theta1)*x and y2 = 1 - tand(theta2)*x
How would I be able to determine the point of intersection of these two lines? How would I be able to do the same if I have more than one pair of lines?

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回答（1 个）

Image Analyst
Image Analyst 2015-12-27
They intersect when the y values are the same, so y1=y2, or
1 + tand(theta1)*x = 1 - tand(theta2)*x
So obviously the answer is x=0, which makes sense. You have two lines intersecting the y axis at 1 with different slopes: slope1 = tand(theta1) and slope2 = tand(theta2). But if you have two lines both intersecting at the y axis at a height of 1, and the two slopes are different, then they must only cross at the y intercept and nowhere else, unless the slopes are equal in which case they will overlap 100% and intersect/cross everywhere.

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