How do you find the slope of a line passing through f (-4) =1 and f (-1) =-3?

1 Answer
smendyka
Mar 22, 2017

See the entire solution process below:

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)(y_2) - color(blue)(y_1))/(color(red)(x_2) - color(blue)(x_1))#

In this format the first point is (-4, 1) and the second point is (-1, -3).

Substituting the values from the points in the problem gives:

#m = (color(red)(-3) - color(blue)(1))/(color(red)(-1) - color(blue)(-4)) = (color(red)(-3) - color(blue)(1))/(color(red)(-1) + color(blue)(4)) = -4/3#

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