Question

What is the slope of the line passing through the points (1, −5) and (4, 1)?

Responses

−2
negative 2

2
2

−45
negative 4 over 5

54

Answer 1

To find the slope (m) of the line passing through the points \((x_1, y_1) = (1, -5)\) and \((x_2, y_2) = (4, 1)\), we can use the slope formula:

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

Substituting in our points:

\[
m = \frac{1 - (-5)}{4 - 1} = \frac{1 + 5}{3} = \frac{6}{3} = 2
\]

Thus, the slope of the line is **2**.