Question

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 1

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 ($x_{1},y_{1}$) and ($x_{2},y_{2}$) is given by $[\frac{y_{2} - y_{1} }{x_{2} - x_{1}} ]$.

So, in our case ($x_{1},y_{1}$) ≡ (-5,-10) and ($x_{2},y_{2}$) ≡ (-1,5).  

Therefore, the slope of the line is $\frac{5 - (- 10)}{- 1 - (- 5)} = \frac{15}{4} = 3.75$ (Answer)