Question

What is the slope of the line which passes through (-2, 0) and (0, 4)?

-2
zero
2
Undefined

Answer 1

The slope is given by:
\[\frac{y_2-y_1}{x_2-x_1}\]
Letting \[(x_1, y_1) = (-2, 0), (x_2, y_2) = (0,4)\] we see that
\[\frac{y_2-y_1}{x_2-x_1} = \frac{4-0}{0-(-2)} = \frac{4}{2} = 2\]
so the slope of the line is 2.