Question

Choose the correct slope of the line that passes through the points (1, -3) and (3, -5).

Answer 1

We are given with two points and is asked for the slope of the line formed by the two points. The formula of the slope is equal to change in y over change in x. In this case, the slope is (-5+3)/(3-1) equal to -2/2 equal to -1. The line hence is going downward and has a formula of y = -x

Answer 2

The slope: $m=\dfrac{y_2-y_1}{x_2-x_1}$

$(1;-3)\to x_1=1;\ y_1=-3\\(3;-5)\to x_2=3;\ y_2=-5\\\\subtitute:\\\\m=\dfrac{-5-(-3)}{3-1}=\dfrac{-5+3}{2}=\dfrac{-2}{2}=-1$


Answer: m = -1