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Unformatted text preview: sign on the numerator
of the slope. In other words, we will assume that the rise is negative if the slope is negative.
Note as well that a negative rise is really a fall.
So, we have the slope, written as a fraction, and a point on the line, ( x1 , y1 ) . To get the
coordinates of the second point, ( x2 , y2 ) all that we need to do is start at ( x1 , y1 ) then move to
the right by the run (or denominator of the slope) and then up/down by rise (or the numerator of
the slope) depending on the sign of the rise. We can also write down some equations for the
coordinates of the second point as follows, x2 = x1 + run
y2 = y1 + rise
Note that if the slope is negative then the rise will be a negative number.
Let’s compute a couple of slopes. Example 1 Determine the slope of each of the following lines. Sketch the graph of each line.
(a) The line that contains the two points ( -2, -3) and ( 3,1) . [Solution]
(b) The line that contains the two points ( -1,5 ) and ( 0, -2 ) . [Solution]
(c) The line that contains the two points ( -3, 2 ) and ( 5, 2 ) . [Solution]
(d) The line that contains the two points (...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.
- Spring '12