Slope = (y2 - y1)/(x2 - x1)
= (1 + 7)/(-1 - 3)
= 8/-4
= -2
Answer
slope = -2
[tex]\text{The slope formula:}\ m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{We have:}\\(3;-7)\to x_1=3;\ y_1=-7\\(-1;\ 1)\to x_2=-1;\ y_2=1\\\\\text{substitute:}\\\\m=\dfrac{1-(-7)}{-1-3}=\dfrac{1+7}{-4}=\dfrac{8}{-4}=-2[/tex]
Answer: m = -2