What is the slope of a line going through #(0, 4)# and #(-4, 2)#?

1 Answer
smendyka
Mar 1, 2017

The slope is #1/2#

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)(4) - color(blue)(2))/(color(red)(0) - color(blue)(-4)) = (color(red)(4) - color(blue)(2))/(color(red)(0) + color(blue)(4)) = 2/4 = 1/2#

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