How do you find the equation of the line that passes through the point (-2,5) and has slope m = -6/11?

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How do you find the equation of the line that passes through the point (-2,5) and has slope m = -6/11?

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Answer 1 · 2015-03-31T12:48:08

You may use the relationship:
#y-y_0=m(x-x_0)#
Where:
m is the slope and (#x_0,y_0#) are the coordinates of your point.
So:
#y-5=-6/11(x-(-2))#
#y=-6/11x+43/11#

The relationship used for this problem derives directly from the definition of slope where you have:
#m=(Deltay)/(Deltax)=(y-y_0)/(x-x_0)# with arbitrary (#x,y#).

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How do you find the equation of the line that passes through the point (-2,5) and has slope m = -6/11?

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