W.2 Find the slope from two points

Question

VZG
Find the slope of the line that passes through (4, 7) and (1, 3).

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

Answer 1

To find the slope \( m \) of the line that passes through the points \((x_1, y_1) = (4, 7)\) and \((x_2, y_2) = (1, 3)\), you can use the formula for the slope:

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

Substituting the coordinates of the points:

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

Thus, the slope of the line that passes through the points (4, 7) and (1, 3) is

\[ \frac{4}{3}. \]