Question

W.2 Find the slope from two points
VZG
Find the slope of the line that passes through (1, 2) and (8, 5).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

To find the slope of the line that passes through two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the formula:

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

Given the points \((1, 2)\) and \((8, 5)\), we can identify:

- \(x_1 = 1\), \(y_1 = 2\)
- \(x_2 = 8\), \(y_2 = 5\)

Now we can substitute these values into the slope formula:

\[
m = \frac{5 - 2}{8 - 1}
\]
\[
m = \frac{3}{7}
\]

Thus, the slope of the line that passes through the points \((1, 2)\) and \((8, 5)\) is

\[
\frac{3}{7}.
\]