Question

What is the slope of the line that contains these points?
X
y
-1
10
1
2
3
-6
5
-14
slope:

Answer 1

Answer:

Slope is - 4.

Step-by-step explanation:

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 $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given by  

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ ........... (1)

Therefore, the slope of the straight line through the given points will be  

$\frac{2 - 10}{1 - (- 1)} = - 4$ {From equation (1)} (Answer)