Question

Find the slope of the line graph

Answer 1

Answer:

-1

Step-by-step 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 $m$)