What is the slope of the line through ( − 5 , − 10 ) (−5,−10)left parenthesis, minus, 5, comma, minus, 10, right parenthesis and ( − 1 , 5 ) (−1,5)left parenthesis, minus, 1, comma, 5, right parenthesis?

Answer:3.75Step-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)