Question #59fdb

1 Answer
Jan 31, 2017

The slope of this line is #m = -5/7#

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 given in the equation produces:

#m = (color(red)(-3) - color(blue)(2))/(color(red)(4) - color(blue)(-3))#

#m = (color(red)(-3) - color(blue)(2))/(color(red)(4) + color(blue)(3))#

#m = -5/7#