4Chapter 1 Analytic Geometryrelation says that “between the point (x1, y1) and any other point (x, y) on the line, thechange inydivided by the change inxis the slopemof the line.”It is possible to find the equation of a line between two points directly from the relation(y-y1)/(x-x1) = (y2-y1)/(x2-x1), which says “the slope measured between the point(x1, y1) and the point (x2, y2) is the same as the slope measured between the point (x1, y1)and any other point (x, y) on the line.” For example, if we want to find the equation ofthe line joining our earlier pointsA(2,1) andB(3,3), we can use this formula:y-1x-2=3-13-2= 2,so thaty-1 = 2(x-2),i.e.,y= 2x-3.The slopemof a line in the formy=mx+btells us the direction in which the line ispointing. Ifmis positive, the line goes into the 1st quadrant as you go from left to right.Ifmis large and positive, it has a steep incline, while ifmis small and positive, then theline has a small angle of inclination. Ifm
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