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,
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.