MATH SOLVE

3 months ago

Q:
# 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

Accepted Solution

A:

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.