A value with x close to the mean, but extremely high y would barely move the line as a whole up or down as you vary y. The gradient would not be much affected.
A value with extremely high x does not need to move much to change the gradient of the line. You might even change the sign of the gradient.
Both are outliers but the second has higher leverage than the first.
Edit: illustration: http://imgur.com/vVKwjHh (right hand side are high leverage)