Question

How to find the slope from a table of data

Answer 1

Rise/run

Rise over run.

Explanation:

To find the slope pick two perfect spots on the line when the coordinates are not decimals.

Then, take those two points and figure out the distance. You will use rise/run.

so rise is how much you either go up or down and run is how much you either go right or left. so how much you'll go up or down? how much will you move right or left?

Lets say you have to go up 5 and then left 7 to get to the coordinate.

That's your slope! you went up so it's positive and you went left so it's negative. Rise over run : rise 5 left 7 so, 5 and -7 which is 5/-7 and that's your slope!

Answer 2

The slope of a linear line (or a linear equation) can be found by simply taking 2 values for x and y and then using the slope formula which is
`(dy)/(dx)` or:

`(y_(2) - y_(1))/(x_(2) - x_(1))`

Example:

Let's say you're give this table:

x: 1, 2

y: 1, 2

Following the steps which I gave, you take 1 value for the y (preferably the larger one) which in this cause will be 2 and then another y from the table which would be 1

Do the same for x

Now plug the values taken in the slope formula and you get:

`(2 - 1)/(2 - 1)`

`(1)/(1) = 1`

Therefore the slope is 1.