How do you find the slope of the line that is perpendicular to the line through (1, 9) and (10, 3 and 1/2)?

Question

Ethan Adkins · Accepted Answer

#18/11#

Find the slope of the line by dividing the change in the y values by the change in the x values. Then take the negative inverse of the slope of the line.

The slope equals the change in #y# divided by the change in #x#, so #y = 9 - 3 1/2 = 5 1/2# #x = 1 - 10 = -9# #"slope" = (5 1/2)/(-9)# Multiply #5 1/2 xx 2 = 11#, then multiply #-9 xx 2 = - 18#, so the slope of the line is #"slope" = - 11/18# The negative inverse is #+ 18/11# So the slope of the line that is perpendicular to the line is #+ 18/11#

Eva Adamson · Answer

undefined To find the slope of the line perpendicular to the line passing through (1, 9) and (10, 3 and 1/2), first find the slope of the given line using the formula: slope = (change in y)/(change in x). Then, determine the negative reciprocal of this slope to find the slope of the perpendicular line.