How do you write the equation in point slope form given (-7, -10) and (-6, -8)?

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How do you write the equation in point slope form given (-7, -10) and (-6, -8)?

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Answer 1 · 2016-03-14T11:43:47

#y+10=2(x+7)#

Explanation:

The point-slope form of a line is given as
#y-y_1 = m(x-x_1)#. We have already been given #(x_1,y_1)# in the original question. We can choose either, but suppose we choose #(x_1,y_1)=(-7,-10)#. The slope is given by

#m=(x_2-x_1)/(y_2-y_1)=(-8+10)/(-6+7)=2/1=2#

Plugging our first point, #(-7,-10)# and the slope #m=2# into the point-slope form of a line gives

#y-y_1 = m(x-x_1) -> y+10=2(x+7)#

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How do you write the equation in point slope form given (-7, -10) and (-6, -8)?

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