Question

Find the slope of the line that passes through (4, 3) and (7, 10). 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 the points \((4, 3)\) and \((7, 10)\), we can use the formula for the slope \(m\) of a line given two points \((x_1, y_1)\) and \((x_2, y_2)\):

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

Here, we can assign:
- \((x_1, y_1) = (4, 3)\)
- \((x_2, y_2) = (7, 10)\)

Now, substituting the coordinates into the slope formula:

\[
m = \frac{10 - 3}{7 - 4}
\]
\[
m = \frac{7}{3}
\]

Hence, the slope of the line that passes through the points \((4, 3)\) and \((7, 10)\) is:

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