Question

question
what is the slope of the line that passes through the points (2, 8) and (12, 20)? write your answer in simplest form.
answer attempt 1 out of 2

Explanation:

Step1: Recall slope formula

The slope \( m \) between 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 coordinates

Here, \( x_1 = 2 \), \( y_1 = 8 \), \( x_2 = 12 \), \( y_2 = 20 \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{20 - 8}{12 - 2} \).

Step4: Simplify numerator and denominator

Calculate numerator: \( 20 - 8 = 12 \). Calculate denominator: \( 12 - 2 = 10 \). So, \( m=\frac{12}{10} \).

Step5: Reduce fraction

Simplify \( \frac{12}{10} \) by dividing numerator and denominator by their greatest common divisor, which is 2. \( \frac{12\div2}{10\div2}=\frac{6}{5} \).

Answer:

\(\frac{6}{5}\)