5. Equations of Parallel and Perpendicular Lines
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If the ratio of the length of AP to PB is 4:1, then the sum of their lengths will be 5 units.
P(6.6,3.8)
A ratio of 4 to 1 indicates that for every 4 of one thing, 1 of another thing will occur. To compare the lengths of the two line segments, AP and PB, let's say that they are made of units of length x.
Therefore, the point P is 4 out of 5 steps between A and B. Now let's draw the segment AB in a coordinate plane using the given coordinates for A(1,3) and B(8,4).
riseand
runand do not simplify. Knowing the slope, we can write equations for finding the x- and y-coordinates of P using the
riseand
runseparately. &Rise:& 4/5* 1= 0.8 [0.8em] &Run:& 4/5* 7= 5.6 We have to move 0.8 steps in the positive vertical direction and 5.6 steps in the positive horizontal direction to move from point A to point P.