Answer:
3.75
Step-by-step explanation:
We have to find the slope of a straight line through points (-5,-10) and (-1,5).
Now. we know the slope of a straight line through the points ([tex]x_{1},y_{1}[/tex]) and ([tex]x_{2},y_{2}[/tex]) is given by [tex][\frac{y_{2} - y_{1} }{x_{2} - x_{1}} ][/tex].
So, in our case ([tex]x_{1},y_{1}[/tex]) ≡ (-5,-10) and ([tex]x_{2},y_{2}[/tex]) ≡ (-1,5).
Therefore, the slope of the line is [tex]\frac{5 - (- 10)}{- 1 - (- 5)} = \frac{15}{4} = 3.75[/tex] (Answer)
