An illustration shows a coordinate plane with the x-axis ranging from negative 9 to 9 in one unit increments, and the y-axis ranging from negative 11 to 11 in one unit increments. A solid line passes through four plotted points and extends beyond. A solid line with arrows at both ends passes through points with coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma negative 3 right parenthesis, left parenthesis 2 comma negative 6 right parenthesis, and left parenthesis 3 comma negative 9 right parenthesis. The solid line forms the hypotenuse for two triangles. The first triangle is marked with a dotted line and has vertices with coordinates left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 0 right parenthesis, and left parenthesis 1 comma negative 3 right parenthesis. The base is labeled as 1, and the perpendicular height on the right is labeled as 3. The second triangle is marked with a dashed line and has vertices with coordinates left parenthesis 1 comma negative 3 right parenthesis, left parenthesis 3 comma negative 3 right parenthesis, and left parenthesis 3 comma negative 9 right parenthesis. The base is labeled as 2, and the perpendicular height on the right is labeled as 6.
What is the slope of the line?
1 answer
To find the slope of the line that passes through the points (0, 0) and (1, -3), we can use the slope formula:
\[ \text{slope} = \frac{y_2 - y_1}{x_2 - x_1} \]
Using the points (0, 0) \( (x_1, y_1) \) and (1, -3) \( (x_2, y_2) \):
Substituting these values into the formula:
\[ \text{slope} = \frac{-3 - 0}{1 - 0} = \frac{-3}{1} = -3 \]
Therefore, the slope of the line is \(-3\).
