Question

Find the slope of the line graph

Answer 1

-1

Explanation:

the "slope" of a graph is rise / run

you divide the "rise" from one point on a graph to another by the "run" from one point to another.

We can use any two points on a graph to find this value. (There are other ways to find slope, but this is the easiest method for find the slope of a graphed line)

We can see two points on the line already pointed out, but we can also look to see other points (that require less math)

[remember, points are written as (x,y) ]
We can see a point at (1,0) and another point at (0, 1)

the "rise" between two points is the difference in y-values.

0 - 1 = -1

{you can also look at the graph/count the boxes}

So, the rise between these two points is -1.

(really, it's a drop)

the "run" between these two points is the difference in x-values.

1 - 0 = 1

so, the run between these two points is 1.

Now, all that's left to do is divide the rise / run:

-1 / 1 = -1

So, the slope of this line is -1.

this can be summed up in the following formula:

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

where
`m` is the slope of the graph,

`x_(1)` = x-value of first point on graph

`y_(1)` = y-value of first point on graph

`x_(2)` = x-value of second point on graph

`y_(2)` = y-value of second point on graph

the equation of a line

y = mx + b

incorporates the slope (as
`m`)