Answer:
[tex]- \frac{1}{2}[/tex]
Step-by-step explanation:
We have to find the slope of the line through the points (-10,1) and (0,-4).
We know the formula of slope of a straight line when two different points on the line are known to be ([tex]x_{1}, y_{1}[/tex]) and ([tex]x_{1}, y_{1}[/tex]) is given by [tex][\frac{y_{1} - y_{2} }{x_{1} - x_{2}}][/tex].
Therefore, in our case ([tex]x_{1}, y_{1}[/tex]) ≡ (-10,1) and ([tex]x_{1}, y_{1}[/tex]) ≡ (0,-4)
Therefore, the slope is [tex]\frac{1 - (- 4)}{- 10 - 0} = - \frac{1}{2}[/tex] (Answer)
