Line segment

For the line segment whose endpoints are L[-1, 13] and M[18, 2], find the x and y value for the point located 4 over 7 the distance from L to M.

Result

x =  9.86
y =  6.71

Solution:

x=−1+4/7⋅(18+1)=9.86x = -1 + 4/7 \cdot (18 +1) = 9.86
y=13+4/7⋅(2−13)=6.71 A[9.86,6.71]y = 13 + 4/7 \cdot (2 -13) = 6.71 \ \\ A[ 9.86, 6.71]

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Following knowledge from mathematics are needed to solve this word math problem:

For Basic calculations in analytic geometry is helpful line slope calculator. From coordinates of two points in the plane it calculate slope, normal and parametric line equation(s), slope, directional angle, direction vector, the length of segment, intersections the coordinate axes etc.

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