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

1 Answer
smendyka
Jan 31, 2017

The gradient is #-1#

Explanation:

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#

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