What is the gradient of the line passing through $(6, 3)$ and $(9, 0)$ ?

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Answer 1 · 2017-01-31T18:06:23

The gradient is $-1$

The slope or gradient can be found by using the formula: $m = (color(red)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))$

Where $m$ is the slope and ( $color(blue)(x_1, y_1)$ ) and ( $color(red)(x_2, y_2)$ ) are the two points on the line.

Substituting the values from the points in the equation gives:

$m = (color(red)(0) - color(blue)(3))/(color(red)(9) - color(blue)(6))$

$m = -3/3 = -1$

What is the gradient of the line passing through (6, 3)(6, 3) and (9, 0)(9, 0)?