Select the correct answer.

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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

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.