Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

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 the points

We have two points \((1, 2)\) and \((3, 6)\), so \( x_1 = 1 \), \( y_1 = 2 \), \( x_2 = 3 \), \( y_2 = 6 \).

Step3: Calculate the slope

Substitute the values into the formula: \( m=\frac{6 - 2}{3 - 1}=\frac{4}{2}=2 \).

Answer:

2