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What is the slope of the line containing the points left parenthesis 1 comma 4 right parenthesis(1,4) and left parenthesis 5 comma 1 right parenthesis question mark (5,1)? select the correct choice below and fill in any answer boxes within your choice?

Respuesta :

If you know the coordinates of two points

[tex] P = (P_x, P_y),\quad Q = (Q_x, Q_y) [/tex]

of two points, the slope of the line passing through them is given by

[tex] \dfrac{P_y-Q_y}{P_x-Q_x} [/tex]

So, if we choose in this example

[tex] P = (1,4),\quad Q = (5,1) [/tex]

The slope is

[tex] \dfrac{4-1}{1-5} = \dfrac{3}{-4} = -\dfrac{3}{4} [/tex]

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