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 the 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 two points

We have the points \((2, 3)\) and \((4, 6)\). Let \((x_1, y_1)=(2, 3)\) and \((x_2, y_2)=(4, 6)\).

Step3: Substitute into the slope formula

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

Step4: Simplify the expression

Simplify the numerator and the denominator: \( \frac{3}{2} \).

Answer:

\(\frac{3}{2}\)