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# point-slope form

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Write the equation of the line that passes through the points (-6,6) and (7,7). Putyour answer in fully reduced point slope form, unless it is a vertical or horizontal line,

Mar 15, 2021

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slope   =   $$\frac{y_2-y_1}{x_2-x_1}\ =\ \frac{7-6}{7--6}\ =\ \frac{1}{13}$$

Using the point  (-6, 6)  and the slope  $$\frac{1}{13}$$  we can make the equation of the line:

y - 6   =   $$\frac{1}{13}$$( x  -  -6)

y - 6   =   $$\frac{1}{13}$$( x  +  6)

I'm not totally sure what it means by "fully reduced" because if we simplified it any more then I don't think it would be in point-slope form anymore, so I would just leave it at that.

Mar 15, 2021