W.2 Find the slope from two points

Question

VZG
Find the slope of the line that passes through (1, 5) and (4, 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 \((1, 5)\) and \((4, 10)\), we can use the slope formula:

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

Here, \((x_1, y_1) = (1, 5)\) and \((x_2, y_2) = (4, 10)\).

Substituting the coordinates into the formula:

\[ m = \frac{10 - 5}{4 - 1} = \frac{5}{3} \]

Thus, the slope of the line that passes through the points (1, 5) and (4, 10) is:

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