Question

Find the equation of the line that passes through points (4,5) and (-1,6).

Answer 1

First find the slope using the formula $m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$
Substitute the values in:
$m= \frac{6-5}{-1-4}= -\frac{1}{5}$
Point-slope form is $y=m(x-x_{1})+y_{1}$
Substitute (it doesn't matter which point you choose; I chose (4,5):
$y=- \frac{1}{5} (x-4)+5=-\frac{1}{5}x+\frac{29}{5}$ 
Therefore, the answer is D. $y=-\frac{1}{5}x+\frac{29}{5}$