Question

What is the slope of the line?

Answer 1

1/3

Explanation:

The slope of a line is the
`(rise)/(run)`. Rise being how many units you go up and down, and run being how many units you go left and right.

Given a chart, we can just count how many units we go up/down and left/right, but if we were given 2 points and no chart, we would use the formula:

`(y2-y1)/(x2-x1)`

For this example, we have a chart, so let's choose 2 solid points: (-3,1) and (0,2).

We can see that from the first point (-3,1) to get to the second point (0,2), we need to go up 1 unit.

We can also see that from going up 1 unit, we need to go right 3 units.

We can rewrite this in the formula for slope:

1/3

This means that our slope is 1/3.

Check it

To check this, we can use our slope point formula:

`(y2-y1)/(x2-x1)`

Given the 2 points, (-3,1), and (0,2)....

`(2-1)/(0+3)\\ =(1)/(3)`

Hope this helps! :)

Answer 2

Explanation:

It goes up and to the right ....it has a positive slope

find two convenient points ( -3,1) and (0,2)

slope, m = (y1-y2) / ( x1-x2) = (1-2) / ( -3 -0) = 1/3