Select the correct answer.

Question

What is the slope of the line that goes through the points (1,-5) and (4,1)?

A. -4/3
B. -3/4
C. 1/2
D. 2

Answer 1

To find the slope of the line that goes through the points \((1, -5)\) and \((4, 1)\), we can use the slope formula:

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

Here, \((x_1, y_1) = (1, -5)\) and \((x_2, y_2) = (4, 1)\).

Substituting the values into the formula:

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

Thus, the slope of the line is:

\[ \boxed{2} \]

So the correct answer is D. 2.