Question

If \( A(2, 3) \) and \( B(4, 5) \) are the end points of a straight line AB, then the slope of straight line AB is:

• A. \( 1 \)
• B. \( 0 \)
• C. \( 2 \)
• D. \( -1 \)

Hint:

The slope of a line can be calculated using the formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \), where \( (x_1, y_1) \) and \( (x_2, y_2) \) are the coordinates of two points on the line.

Answer 1

The Correct Option is A

Step 1: Formula for the Slope of a Line The slope \( m \) of a straight line passing through two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Step 2: Substitute the Coordinates of Points A and B We are given the points \( A(2, 3) \) and \( B(4, 5) \). So, \( x_1 = 2 \), \( y_1 = 3 \), \( x_2 = 4 \), and \( y_2 = 5 \). Substituting these values into the slope formula: \[ m = \frac{5 - 3}{4 - 2} = \frac{2}{2} = 1 \]

Step 3: Conclusion Therefore, the slope of the line AB is \( 1 \).