How do you find the slope of the line that passes through #(52, 76)# and #(51, 78)#?

1 Answer
Eric C.
Jul 5, 2016

m(gradient) = -2

Explanation:

Generally the slope refers to the gradient of the line. Therefore

#x_1 = 52, y_1 = 76#
#x_2 = 51, y_2 = 78#

m(gradient) = #(Δy)/(Δx)# = #(y_2 - y_1)/(x_2 - x_1)# = #(78 - 76)/(51 - 52)# = #(2)/(-1)# = -2

Note: The #(y_2 - y_1)/(x_1 - x_2)# can be switched around to #(y_1 - y_2)/(x_1 - x_2)#

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