What is the slope of the line that passes through (-2, 5) and (4,9)?

1 Answer
Jun 8, 2017

See a 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)(9) - color(blue)(5))/(color(red)(4) - color(blue)(-2)) = (color(red)(9) - color(blue)(5))/(color(red)(4) + color(blue)(2)) = 4/6 = 2/3