Question

Find the slope of the line passing through the points $ (1, 2) $ and $ (3, 6) $:

• A. 3
• B. 2
• C. 4
• D. 1

Hint:

Key Fact: Slope \( m = \frac{\Delta y}{\Delta x} \)

Answer 1

The Correct Option is B

The slope of a line connecting two points is calculated using the formula:

\( m = \frac{y_2 - y_1}{x_2 - x_1} \)

For the points \((1, 2)\) and \((3, 6)\):

• Point 1: \((x_1, y_1) = (1, 2)\)
• Point 2: \((x_2, y_2) = (3, 6)\)

Plugging these coordinates into the formula yields:

\( m = \frac{6 - 2}{3 - 1} \)

\( m = \frac{4}{2} \)

\( m = 2 \)

The calculated slope of the line is \(2\).