Slope from two points

a=\dfrac{y_2-y_1}{x_2-x_1}

Result unit: — (liczba)

What it describes

The slope of the line passing through two given points.

a

slope

(x_1,y_1),(x_2,y_2)

the points

The slope is "how far up for how far across" — the change in

y

divided by the change in

x

between the two points.

Finding the equation of a line from two points.

Given

A(1,2)

B(3,8)

. Find the slope.

Substitution

\Delta y=6

\Delta x=2

Result

a=\dfrac{6}{2}=3

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