How do you find the slope of the line through (0, 5) and (5, 5)?

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Answer 1 · 2017-02-07T05:04:58

See the entire solution process below:

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)(5) - color(blue)(5))/(color(red)(5) - color(blue)(0))#

#m = 0/5 = 0#

The slope of this line is #0#.

Also, because both points have the same #y# value we know this is a horizontal line and a horizontal line by definition has a slope of #m = 0#