Question

x y
1 8
13 28
25 48
37 68
What is the slope of the line?
Write your answer as an integer or simplified fraction.

Answer 1

To calculate the slope of the line given the points \((1, 8)\) and \((37, 68)\), we can use the slope formula:

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

Assigning the points as follows:
- \((x_1, y_1) = (1, 8)\)
- \((x_2, y_2) = (37, 68)\)

Now substituting these into the slope formula:

\[
m = \frac{68 - 8}{37 - 1} = \frac{60}{36}
\]

To simplify \(\frac{60}{36}\), we find the greatest common divisor (GCD) of 60 and 36, which is 12.

Now, dividing both the numerator and the denominator by 12:

\[
m = \frac{60 \div 12}{36 \div 12} = \frac{5}{3}
\]

Thus, the slope of the line is

\[
\boxed{\frac{5}{3}}
\]