How do you find the slope of a line? Like what is the equation for it? Here is and example

Rose98 Jul 13, 2014

#1**+10 **

There is a "formula" for calculating the slope.

m = (y2 - y1) ' (x2 - x1) where m is the slope.

Basically, it says to subtract the y values in some order and then subtract the x values in the same order. Then, put the first result over the second to get the slope.

OK......let's subtact the y's in this order ... 5 - (-1) = 6

And now we'll subtract the x's in the same order .... -2 - 0 = -2

Now.....put the first thing over the second...... 6/-2 = -3

And there's the slope. This says that everytime x chages by 1, y changes by -3. Look at the graph to verify this for yourself.

Let me emphasize one thing.....the order of subtraction* must* remain the same between the y's and the x's, or else your answer will be incorrect. Note, if the line "falls" from left to right and we get a positive slope.......we've done something wrong!! The slope should be negative in this situation!!! This is always a good visual check to ensure that our answer makes sense.

CPhill Jul 13, 2014

#1**+10 **

Best Answer

There is a "formula" for calculating the slope.

m = (y2 - y1) ' (x2 - x1) where m is the slope.

Basically, it says to subtract the y values in some order and then subtract the x values in the same order. Then, put the first result over the second to get the slope.

OK......let's subtact the y's in this order ... 5 - (-1) = 6

And now we'll subtract the x's in the same order .... -2 - 0 = -2

Now.....put the first thing over the second...... 6/-2 = -3

And there's the slope. This says that everytime x chages by 1, y changes by -3. Look at the graph to verify this for yourself.

Let me emphasize one thing.....the order of subtraction* must* remain the same between the y's and the x's, or else your answer will be incorrect. Note, if the line "falls" from left to right and we get a positive slope.......we've done something wrong!! The slope should be negative in this situation!!! This is always a good visual check to ensure that our answer makes sense.

CPhill Jul 13, 2014