m= $${{\mathtt{y}}}^{{\mathtt{2}}}$$ - $${{\mathtt{y}}}^{{\mathtt{2}}}$$ / $${{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{{\mathtt{x}}}^{{\mathtt{2}}}$$
m= -7 - (-1) / -7 -14
m= -6 / -21
m= 2/7
+23254 The clarification that I would make is that the slope of a line is not found by using exponents: rather,
m = (y2 - y1) / (x2 - x1) = (-7 - -1) / (-7 - 14) = -6 / -21 = 2/7.
So, I agree with your calculations, just not how the formula was stated.
To find the equation of the line, use the point-slope form: y - y1 = m(x - x1)
---> y - -1 = (2/7)(x - 14) ---> y + 1 + (2/7)(x - 14)
---> 7y + 7 = 2(x - 14) ---> 7y + 7 = 2x - 28 ---> -2x + 7y = -35 ---> 2x - 7y = 35
