How would you find the slope of the line containing the points P(4, 9) and R(57, 73)?

Slope is defined as the difference in the vertical axis divided by the difference in the horizontal axis, going left to right (s = dy/dx).  P has a lesser x co-ordinate, so it will be R - P in this case, giving us (ry - py) / (rx - px):

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step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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