Question

Can someone please explain this to me?​

Answer 1

-250

Explanation:

Slope is a measure of the inclination of a line which is expressed as a ratio of the vertical distance to the horizontal distance between any two points on the line.

slope = rise/sun

rise = vertical distance = change in y-coordinate

run = horizontal distance = change in x-coordinate

Look at the two points on the graph connected by the black vertical segment and the red horizontal segment.

Start at the left point. Its coordinates are (4, 7000).

Go down the black vertical segment from y-coordinate 7000 to y-coordinate 6000. The rise, which is the vertical distance between points, is -1000. It is negative because the value went from 7000 to 6000. Now go right along the red segment till point (8, 6000). The run is the distance in x. Going from 4 to 8 is a distance of 4. Also, you went from 4 to 8, so it is a positive change of 4. The run is 4.

slope = rise/run = -1000/4 = -250

The slope is -250.

Answer 2

The slope is -250, it's explained in the explanation (below)

Explanation:

Okay. I'll try my best to explain this, if you need anything more explained, please let me know.

The slope of a line is always the rise over run. This means that however much the y increases, divided by how much the x increases, will equal the slope.

`(y-change)/(x-change)`

Let's look at this graph. It's important to note that the y axis is measured in 1000's. We can see that The graph drops down one point, meaning it dropped down 1000. Since it dropped down, the change in y is -1000.

For the x-axis, we can see it's measured in increments of 1. If we started as 4, and now we're at 8, we had a total change of
`8 - 4 = 4`. So the change in x is 4.

This is where the blue/orange triangle became really useful. It showed us two integer valued points where we could compare the change.

Now we put the change in x and the change in y into our original formula, rise over run.

`(-1000)/(4)`

We can simplify this fraction by dividing both sides by 4.

`-1000/ 4 = 250\\\\4 / 4 = 1\\\\(-250)/(1)`

This is the same as -250. So the slope is -250.

Hope this helped!