How do you find the slope of (0,9)(4,7)?

Question

1296 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-06-07T11:35:29

#m=(Deltay)/(Deltax)=2/-4=-1/2#

We find the slope of a line (usually notated as #m#) with the following formula:

#m=(Deltay)/(Deltax)#, (delta being the symbol for "change") or as some like to say:

#(Rise)/(Run)#

So what is the rise in the two points, or the difference between the two y values? #y_1=9# and #y_2=7#, so what is the change in y?

#9-7=2#

Now let's do the run, or the difference between the two x values. #x_1=0# and #x_2=4#, so what is the change in x?

#0-4=-4#

Putting it together:

#m=(Deltay)/(Deltax)=2/-4=-1/2#