How do you find the slope of the line passing through the points #(7, -8#) and #(4, -2)#?

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)(-2) - color(blue)(-8))/(color(red)(4) - color(blue)(7)) = (color(red)(-2) + color(blue)(8))/(color(red)(4) - color(blue)(7)) = 6/-3 = -2#