6.Write the equation of the line in slope-intercept form that has the following points: (4, 5) (-1, 2)A. y = 3/5x + 1B. y = -x + 1C. y = -x + 13/5D. y = 3/5x + 13/5

Answer:   D.  y = 3/5x + 13/5Step-by-step explanation:The slope of the desired line is the ratio of the difference in y-values to the difference in x-values:   m = Δy/Δx = (2 -5)/(-1 -4) = -3/-5 = 3/5 . . . . . . eliminates choices B and CThe slope-intercept equation will then be ...   y = mx + b . . . . . . . generic slope-intercept form   y = 3/5x + b . . . . . . put in m; true for some b that puts the given points on the lineUsing the first point, we have ...   5 = 3/5×4 + b   25/5 = 12/5 + b   13/5 = b . . . . . . . . . subtract 12/5Then the equation is ...   y = 3/5x + 13/5_____You know as soon as you consider putting a point value in the equation ...   y = 3/5x + bthat the equation of choice A cannot work. That only leaves choice D.