How do you find the slope given (2, -1) and (-3, 4)?

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Answer 1 · 2016-04-04T20:37:37

#(deltay)/(deltax) = -1#

Slope is #"rise"/"run"#, or the change in #y# divided by the change in #x#. Mathematically this is shown as

#(deltay)/(deltax)#

To find the change in a value, take the second one and subtract the first, or

#deltan = n_2 - n_1#

Therefore,

#deltay = 4 - (-1) = 5#
#deltax = -3 - 2 = -5#

Which means

#(deltay)/(deltax) = 5/-5 = -1#

which is the slope of the line.