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

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Answer 1 · 2016-07-05T09:27:17

m(gradient) = -2

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 $(y_1 - y_2)/(x_1 - x_2)$

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