If c does not equal 0 and the slope of the line passing through (-c, 2c) and (4c, a) is 1, what is the expression for a in terms of c?

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Answer 1 · 2016-09-08T13:24:21

# a=7c#.

We know that the slope, say, #m#, of the line passing thro. pts.

#(x_1,y_1) and (x_2,y_2)# is given by,

#m=(y_1-y_2)/(x_1-x_2), x_1!=x_2#.

Therefore, in our case,

#(2c-a)/(-c-4c)=1, cne0#

#:. 2c-a=-5c#

#:. 2c+5c=a, or,#

# a=7c#.