Question

Find the slope of the line.

Answer 1

Answer:
`m = (1)/(6)`



Explanation:

(-5,-4) = (x1, y1)

(1,-3) = (x2, y2)

Slope =
`(y2-y1)/(x2-x1)`

=
`(-3-(-4))/(1-(-5))`

=
`(-3+4)/(1+5)`

=
`(1)/(1+5)`

=
`(1)/(6)`

Answer 2

Given two points (x₁,y₁) and (x₂,y₂), the slope of the line passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)

In this case, the points are (-5,-4) and (1,-3) and the slope would be:
m=(-3+4)/(1+5)=1/6

Answer: the slope would be 1/6