Question

find the slope of the line that passes through (1, 8) and (6, 10). simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall the slope formula

The slope \( m \) of a line passing through two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the coordinates

Here, \( (x_1, y_1)=(1, 8) \) and \( (x_2, y_2)=(6, 10) \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m = \frac{10 - 8}{6 - 1} \).

Step4: Simplify the numerator and denominator

Simplify the numerator: \( 10 - 8 = 2 \).
Simplify the denominator: \( 6 - 1 = 5 \).
So, \( m=\frac{2}{5} \).

Answer:

\(\frac{2}{5}\)