Answer:
3
Step-by-step explanation:
we can think of the <em>slope</em> of a graph as
the "rise" is the difference in y-values between two points (the change in y)
the "run" is the difference in x-values between two points (the change in x)
when we divide these (rise/run), we find the slope
you can choose any two well-defined points (with clear x and y values), here are the two we will be using:
(remember, points are written as (x, y) )
(0 , 2)
(-1 , -1)
for the "rise", we have risen 3 (difference between 2 and -1 = 3 [2- -1 = 3] )
for the "run" we have ran 1 (difference between 0 and -1 = 1) (0 - - 1 = 1)
so, the slope for this graph is: 3/1 ; which simplifies to 3
So, the slope of our graph is 3
<em>--------------------------------------------------------------</em>
<em>technical layout:</em>
<em />
(note: slope is called "m" in the format of y=mx + b)
means one y-value,
means other y-value
means one y-value,
means other x-value
{note: it is important to keep the y1 and x1 from the same point, and the y2 and x2 from a shared point}
our equation in this layout:
=
m = 3