[INST] What is the slope of a line perpendicular to the line containing the points (4,-7) and (-5,-1)? Express your answer as a common fraction./n [/INST]  ###Response: The slope of the line containing (4, -7) and (-5, -1) is (-7 - (-1))/(4 - (-5))=(-6)/9 = -2/3. Since the other line is perpendicular to this one its slope is the negative reciprocal of -2/3, giving us 3/2.