What is the slope of the line through (-1,-7) and (3,9)?

2 Answers
Apr 5, 2018

The slope is #4#.

Explanation:

We can use the formula for calculating slope on our graph, the formula is the vertical difference over the horizontal difference of the graph. In other words, the formula is

#"slope" = (y_2-y_1)/(x_2-x_1)#

So in our case the

  • #y_2=9#
  • #y_1=-7#
  • #x_2=3#
  • #x_1=-1#

So if we substitute we can get our equation like this

#"slope" = (9- (-7))/(3- (-1)) =(16)/(4) =4 #

Hope this helps!

Apr 5, 2018

#4#

Explanation:

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The slope (or gradient, #m#) is given by the difference in the #y# ordinates divided by the difference in the #x# ordinates as follows:

#m=(9--7)/(3--1)#

#m=16/4#

#m=4#