Question

x y
5 1
6 2
7 3
8 4
What is the slope of the line?
Write your answer as an integer or simplified fraction.

Answer 1

To find the slope of the line given the points \((5, 1)\), \((6, 2)\), \((7, 3)\), and \((8, 4)\), we can use the formula for the slope, which is:

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

We can use any two points from the list. Let's take the points \((5, 1)\) and \((6, 2)\) as an example:

\[
m = \frac{2 - 1}{6 - 5} = \frac{1}{1} = 1
\]

Now, let's verify the slope using other pairs of points to ensure consistency:

Using points \((6, 2)\) and \((7, 3)\):

\[
m = \frac{3 - 2}{7 - 6} = \frac{1}{1} = 1
\]

Using points \((7, 3)\) and \((8, 4)\):

\[
m = \frac{4 - 3}{8 - 7} = \frac{1}{1} = 1
\]

All calculations give us the same slope.

Thus, the slope of the line is \( \boxed{1} \).