The slope of the line is -4 if the line contains the points are -1,10 1,2 3,-6 5,-4
A numerical measure of a line's inclination relative to the horizontal.
In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given that:
The given points are (-1,10), (1,2), (3,-6) and (5,-14).
Now, we have to find the slope of the line containing these points.
We can pick any two points to find the slope.
Let they are (-1,10) and (1,2).
Now, we know that the slope of a straight line passing through any two known points
[tex](x_{1} ,y_{1} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] is given by
[tex]m=\dfrac{(y_{2}-y_{1})}{(x_{2}-x_{1} ) }[/tex] .....(i)
The slope of the straight line through the given points will be [tex]\rm m=\dfrac{2-10}{1-(-1)} =-4[/tex]
Therefore, the slope of the line is -4.
Learn more about slopes here:
https://brainly.com/question/28190088
#SPJ1
