Can you find the slope of the line that passes through the points (-6,-4) and (-2,5)?

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Answer 1 · 2015-03-30T23:58:24

Mar 30, 2015

Answer 2 · 2015-03-31T00:09:27

Yes I can.

The equation of the line is of the form:

#y=mx+c#

So:

#-4=m(-6)+c# #color(red)((1))#

and:

#5=m(-2)+c# #color(red)((2))#

From #color(red)((1))#:

#c=6m-4#

We subs. this value of c into #color(red)((2))rArr#

#5=-2m+(6m-4)#

#4m=9#

#m=9/4=2.25#