Question

What is the slope of this graph? −3 −1/3 1/3 3 Number graph ranging from negative 10 to 10 on both the x and y axis. A line passes through the point begin ordered pair 1 comma negative 1 end ordered pair and the point begin ordered pair negative 1 comma 5 end ordered pair

Answer 1

Answer: -3

Explanation:

The slope of a line passing thorough two points (a,b) and (c,d) is given by :-

`m=(d-b)/(c-a)`

From the given description, we observe that the line is passing through (1,-1) and (-1,5).

Then , the slope of the graph passing through (1,-1) and (-1,5) will be :

`m=(5-(-1))/(-1-1)\\\\\Rightarrow\ m=(5+1)/(-2)\\\\\Rightarrow\ m=(6)/(-2)=-3`

Hence, the slope of this graph= -3

Answer 2

-3

Explanation:

The slope is the ratio of the change in y-coordinates to the change in x-coordinates:

... (5 -(-1))/(-1-1) = 6/-2 = -3