What is the slope of a line that passes through the points #(2.7, 1.4)# and #(2.4, 1.7)#?

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Answer 1 · 2016-07-21T04:59:30

Slope is #-1#

Equation of line that passes through points #(x_1,y_1)# and #(x_2,y_2)# is given by

#(y-y_1)/(y_2-y_1)=(x-x_1)/(x_2-x_1)#

Hence equation of a line passing through #(2.7,1.4)# and #(2.4,1.7)# is

#(y-1.4)/(1.7-1.4)=(x-2.7)/(2.4-2.7)# or

#(y-1.4)/0.3=(x-2.7)/-0.3# or

#(y-1.4)=-x+2.7# (multiplying by #0.3#)

or #y=-x+4.1#,

which is in slope intercept form #y=mx+c#, where #m# is slope

Hence slope is #-1#