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