Question

what is the slope of the passing through the points (4,6) and (-1, -2)

Answer 1

$The\ slope:m=\dfrac{y_2-y_1}{x_2-x_1}\\------------------\\\\(4;\ 6)\to x_1=4\ and\ y_1=6\\(-1;-2)\to x_2=-1\ and\ y_2=-2\\\\subtitute\\\\m=\dfrac{-2-6}{-1-4}=\dfrac{-8}{-5}=\boxed{\frac{8}{5}}$