Question

What’s the slope of this graph? Can y’all guys help please ! Thank y’all

Answer 1

3

Explanation:

we can think of the slope of a graph as
`(rise)/(run)`

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

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technical layout:

`m=(y_(2) -y_(1))/(x_(2)-x_(1))` (note: slope is called "m" in the format of y=mx + b)

`y_(1)` means one y-value,
`y_(2)` means other y-value

`x_(1)` means one y-value,
`x_(2)` 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=(2 -(-1))/(0-(-1))` =
`m=(3)/(1)`

m = 3