How would you find the slope of the line which passes through the points (-3,-5) and (-1,-6)?

1 Answer
Feb 22, 2017

See the entire solution 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)(-6) - color(blue)(-5))/(color(red)(-1) - color(blue)(-3)) = (color(red)(-6) + color(blue)(5))/(color(red)(-1) + color(blue)(3)) = -1/2#