What is the slope of the line passing through the following points: #(-3,4),(7,-16) #?

1 Answer
smendyka
Feb 20, 2017

The slope of the line pass through the two points is #m = -2#

Explanation:

The slope 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 problem gives:

#m = (color(red)(-16) - color(blue)(4))/(color(red)(7) - color(blue)(-3)) = (color(red)(-16) - color(blue)(4))/(color(red)(7) + color(blue)(3)) = -20/10 = -2#

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