Question

What is the slope of a line whose graph contains the points
(-2,-6) and (0,0)? Answer

Answer 1

To find the slope of a line that contains two points, we use the formula for slope \( m \):

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

In this case, let's take the two points:
- Point 1: \((-2, -6)\) which gives \( x_1 = -2 \) and \( y_1 = -6 \)
- Point 2: \((0, 0)\) which gives \( x_2 = 0 \) and \( y_2 = 0 \)

Now we can substitute these values into the slope formula:

\[
m = \frac{0 - (-6)}{0 - (-2)} = \frac{0 + 6}{0 + 2} = \frac{6}{2} = 3
\]

Therefore, the slope of the line is \( \boxed{3} \).