Question

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

Answer 1

The slope:
`m=(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=(-5-(-3))/(3-1)=(-5+3)/(2)=(-2)/(2)=-1`


Answer: m = -1

Answer 2

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